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Zero Exponents

Multiplying Powers with the Same Base

Negative Exponents

Raising a Power to a Power

Any base raised to the power of zero is equal to one.

To multiply powers with the same base, add the exponents.

An expression with a negative power ends up on the opposite s…

To raise a power to a power, multiply the exponents.

Zero Exponents

Any base raised to the power of zero is equal to one.

Multiplying Powers with the Same Base

To multiply powers with the same base, add the exponents.

Exponent

Term

Coefficient

polynomial

The exponent of a number says how many times to use the numbe…

A single number or variable or numbers and variables multipli…

A number multiplied to a variable in a term.

A monomial or a sum or difference of monomials.

Exponent

The exponent of a number says how many times to use the numbe…

Term

A single number or variable or numbers and variables multipli…

Exponential Function

Exponential Decay

Exponential Growth

rate of change

y=abⁿ

Occurs when a quantity decreases exponentially over time.

Occurs when a quantity increases exponentially over time.

b

Exponential Function

y=abⁿ

Exponential Decay

Occurs when a quantity decreases exponentially over time.

Product of powers property

Power of a Power property

Power of a product property

Zero exponent property

to multiply powers with the same base, ADD their exponents. a…

to find the power of a power, multiply the exponents (a)ⁿ=aⁿ,…

To find the power of a product, find the power of each factor…

a nonzero quantity raised to the zero power is equal to 1, b⁰…

Product of powers property

to multiply powers with the same base, ADD their exponents. a…

Power of a Power property

to find the power of a power, multiply the exponents (a)ⁿ=aⁿ,…

compound interest

decay factor

exponential decay

exponential function

interest earned or paid on both the principal and previously…

the base (1 - r) in an exponential expression

an exponential function of the form f(x) = ab^x in which 0<b<1

a function of the form f(x) = ab^x, where a and b are real nu…

compound interest

interest earned or paid on both the principal and previously…

decay factor

the base (1 - r) in an exponential expression

power

exponent

base

Zero Exponent

the number of times a quantity is used as a factor

a mathematical notation indicating the number of times a quan…

the number or expression that is used as a factor in a repeat…

b to the zero power is 1... b^0 = 1

power

the number of times a quantity is used as a factor

exponent

a mathematical notation indicating the number of times a quan…

Power

Base

Exponential Function

Exponential Decay

The base and the exponent of an expression in the form a^n

The quantity in a power that is used as the factor

A function that repeatedly multiplies an initial amount by th…

a situation modeled with a function of the form y=ab^x, where…

Power

The base and the exponent of an expression in the form a^n

Base

The quantity in a power that is used as the factor

Monomial

Constant

Zero exponents

Negative exponent

expression in algebra that contains one term

a number on its own

any base with an exponent is equal to one

how many times to divide by a number

Monomial

expression in algebra that contains one term

Constant

a number on its own

Monomial

Constant

Zero Exponent

Negative Exponent

Number, a variable, or product of a number and one or more va…

Monomial that is a real number

Any non zero number raised to the power of zero

Any non zero real number raised to the negative power

Monomial

Number, a variable, or product of a number and one or more va…

Constant

Monomial that is a real number

base

compound interest

decay factor

exponent

the quantity in a power that is used as the factor

interest that is paid on your principal and previous interest

the factor represented by b in the equation y=ab^x where 0<b<1

tells you how many times to use the base as a factor

base

the quantity in a power that is used as the factor

compound interest

interest that is paid on your principal and previous interest

compound interest

decay factor

exponential decay

exponential function

interest earned or paid on both the principal and previously…

the base (1 - r) in an exponential expression

an exponential function of the form f(x) = ab^x in which 0<b<1

a function of the form f(x) = ab^x, where a and b are real nu…

compound interest

interest earned or paid on both the principal and previously…

decay factor

the base (1 - r) in an exponential expression

compound interest

decay factor

exponential decay

exponential function

interest earned or paid on both the principal and previously…

the base (1 - r) in an exponential expression

an exponential function of the form f(x) = ab^x in which 0<b<1

a function of the form f(x) = ab^x, where a and b are real nu…

compound interest

interest earned or paid on both the principal and previously…

decay factor

the base (1 - r) in an exponential expression

Exponent

Zero as an Exponent

Negative Exponents Property

Addition/Subtraction Property of Expon…

A number that shows repeated multiplication; found in the sup…

For every nonzero number a, a⁰=1

For every nonzero number, a⁻ⁿ=1/aⁿ

When adding or subtracting values raised to exponents, you ca…

Exponent

A number that shows repeated multiplication; found in the sup…

Zero as an Exponent

For every nonzero number a, a⁰=1

compound interest

decay factor

exponential decay

exponential function

interest earned or paid on both the principal and previously…

the base (1 - r) in an exponential expression

an exponential function of the form f(x) = ab^x in which 0<b<1

a function of the form f(x) = ab^x, where a and b are real nu…

compound interest

interest earned or paid on both the principal and previously…

decay factor

the base (1 - r) in an exponential expression

compound interest

decay factor

exponential decay

exponential function

interest earned or paid on both the principal and previously…

the base (1 - r) in an exponential expression

an exponential function of the form f(x) = ab^x in which 0<b<1

a function of the form f(x) = ab^x, where a and b are real nu…

compound interest

interest earned or paid on both the principal and previously…

decay factor

the base (1 - r) in an exponential expression

monomial

constant

zero exponent

negative exponent

a number, a variable, or a product of a number and one or mor…

a monomial that is a real number

for any nonzero number a, a^0=1; any nonzero number raised to…

for any real number a not equal to zero and any integer n, a^…

monomial

a number, a variable, or a product of a number and one or mor…

constant

a monomial that is a real number

compound interest

decay factor

exponential decay

exponential function

interest earned or paid on both the principal and previously…

the base (1 - r) in an exponential expression

an exponential function of the form f(x) = ab^x in which 0<b<1

a function of the form f(x) = ab^x, where a and b are real nu…

compound interest

interest earned or paid on both the principal and previously…

decay factor

the base (1 - r) in an exponential expression

monomial

constant

zero exponent

negative exponent

a number, a variable, or a product of a number and one or mor…

a monomial that is a real number

for any nonzero number a, a^0=1; any nonzero number raised to…

for any real number a not equal to zero and any integer n, a^…

monomial

a number, a variable, or a product of a number and one or mor…

constant

a monomial that is a real number

Product of powers property

Power of a Power property

Power of a product property

Zero exponent property

to multiply powers with the same base, ADD their exponents. a…

to find the power of a power, multiply the exponents (a)ⁿ=aⁿ,…

To find the power of a product, find the power of each factor…

a nonzero quantity raised to the zero power is equal to 1, b⁰…

Product of powers property

to multiply powers with the same base, ADD their exponents. a…

Power of a Power property

to find the power of a power, multiply the exponents (a)ⁿ=aⁿ,…

Compound interest

Index

Exponential function

Exponential growth

Example of exponential growth (paying both principal and inte…

Gives degree of root

A function of the form Y equals A times B squared where A is…

Can be modeled by the function Y equal to A times B squared w…

Compound interest

Example of exponential growth (paying both principal and inte…

Index

Gives degree of root

monomial

constant

zero exponent

negative exponent

a number, a variable, or a product of a number and one or mor…

a monomial that is a real number

for any nonzero number a, a^0=1; any nonzero number raised to…

for any real number a not equal to zero and any integer n, a^…

monomial

a number, a variable, or a product of a number and one or mor…

constant

a monomial that is a real number

Index

Exponential function

Exponential growth

Growth factor

With a radical sign, the index indicates the degree of the ro…

A function that repeatedly multiplies an initial amount by th…

A situation modeled with a function of the form y = abx, wher…

1 plus the percent rate of change for an exponential growth s…

Index

With a radical sign, the index indicates the degree of the ro…

Exponential function

A function that repeatedly multiplies an initial amount by th…

monomial

constant

geometric sequence

common ratio

to multiply two powers that have the same base

a real number

a sequence in which each term after the nonzero first term is…

the number by which each term in a geometric sequence is mult…

monomial

to multiply two powers that have the same base

constant

a real number

monomial

constant

zero exponent

negative exponent

a number, a variable, or a product of a number and one or mor…

a monomial that is a real number

for any nonzero number a, a^0=1; any nonzero number raised to…

for any real number a not equal to zero and any integer n, a^…

monomial

a number, a variable, or a product of a number and one or mor…

constant

a monomial that is a real number

order of magnitude

power

exponent

base

the power of 10 nearest a quantity

the number of times a quantity is used as a factor

a mathematical notation indicating the number of times a quan…

the number or expression that is used as a factor in a repeat…

order of magnitude

the power of 10 nearest a quantity

power

the number of times a quantity is used as a factor

Exponential Function

Base

Scientific Notation

Decay Factor

A function that repeatedly multiplies an initial amount by th…

The quantity in a power that is used as the factor.

A number expressed in the form a × 10^n, where n is an intege…

The factor represented by b in the equation ... y = ab^x where 0…

Exponential Function

A function that repeatedly multiplies an initial amount by th…

Base

The quantity in a power that is used as the factor.

Base

Compound Interest

Decay Factor

Exponent

The quantity in a power that is used as the factor.

Interest that is paid on your principal and previous interest.

The factor represented by b in the equation ... y = ab^x where 0…

Tells you how many times to use the base as a factor.

Base

The quantity in a power that is used as the factor.

Compound Interest

Interest that is paid on your principal and previous interest.

a monomial

a constant

zero exponent

order of magnitude of quantity

a number, a variable , or a product of a number and a variabl…

a monomial that is a real number

The number always will equal one

is a number rounded to the nearest 10

a monomial

a number, a variable , or a product of a number and a variabl…

a constant

a monomial that is a real number

What does an Exponential Term consist…

In Multiplication of Powers, you multi…

In Division of Powers, you divide the…

2a^3 Which is the constant?

Constant, variable, power

Add exponents

Subtract

2

What does an Exponential Term consist…

Constant, variable, power

In Multiplication of Powers, you multi…

Add exponents

Monomial

Common Ratio

Constant

Zero exponents

A number, a variable, or a product of a number and one or mor…

A number that is calculated in a geometric sequence where eac…

A real number that is known for being a monomial

Variables that go for any nonzero numbers such as... a, a^0 = 1

Monomial

A number, a variable, or a product of a number and one or mor…

Common Ratio

A number that is calculated in a geometric sequence where eac…

Monomial

Constant

Zero Exponent

Negative Exponent

A number, a variable, or a product of a number and one or mor…

A value that does not change

The number always will equal one

an exponent less than zero which causes the base and its expo…

Monomial

A number, a variable, or a product of a number and one or mor…

Constant

A value that does not change

Compound Interest

Decay Factor

Exponential Function

Exponential Growth

Interest paid on both the principal and the interest that has…

1 minus the percent rate of change, expressed as a decimal, f…

A function that repeatedly multiplies an initial amount by th…

A situation modeled with a function of the form y=ab^x where…

Compound Interest

Interest paid on both the principal and the interest that has…

Decay Factor

1 minus the percent rate of change, expressed as a decimal, f…

Sequence

arithmetic sequence

Geometric sequence

recursive formula

In Math, it is a list of numbers that has a predictable patte…

A sequence in which each term is found by adding a fixed amou…

a sequence in which each term is found by multiplying the pre…

uses the preceding term to define the next term of the sequence

Sequence

In Math, it is a list of numbers that has a predictable patte…

arithmetic sequence

A sequence in which each term is found by adding a fixed amou…

Exponential Function

exponential growth function

exponential decay function

exponential decay

a function of the form f(x) = ab^x, where a and b are real nu…

y = a(1 + r)^t, where a >0

y = a(1- r)^t, where a >0

occurs when a quantity decreases by the same rate 'r' in each…

Exponential Function

a function of the form f(x) = ab^x, where a and b are real nu…

exponential growth function

y = a(1 + r)^t, where a >0

Arithmetic Sequence

Domain

Function

Geometric Sequence

An=A1+(n-1)d... a sequence in which each term is found by adding…

The set of input values of a function.

1. A relationship from one set (called the domain) to another…

a sequence in which the ratio of successive terms is a consta…

Arithmetic Sequence

An=A1+(n-1)d... a sequence in which each term is found by adding…

Domain

The set of input values of a function.

Add 3 to x (in the exponent)

Subtract 3 from x (in the exponent)

Add 3 (NOT in the exponent)

Subtract 3 (NOT in the exponent)

Translate left 3

Translate right 3

Translate up 3

Translate down 3

Add 3 to x (in the exponent)

Translate left 3

Subtract 3 from x (in the exponent)

Translate right 3

Base

Compound interest

Decay factor

Exponent

The quantity in a power that is used as the factor

Interest that is paid on your principle and previous interest

The factor represented by b in the equation y= ab^x where 0 <…

Tells you how many times to use the base as a factor

Base

The quantity in a power that is used as the factor

Compound interest

Interest that is paid on your principle and previous interest

Sequence

arithmetic sequence

Geometric sequence

recursive formula

In Math, it is a list of numbers that has a predictable patte…

A sequence in which each term is found by adding a fixed amou…

a sequence in which each term is found by multiplying the pre…

uses the preceding term to define the next term of the sequence

Sequence

In Math, it is a list of numbers that has a predictable patte…

arithmetic sequence

A sequence in which each term is found by adding a fixed amou…

Geometric Sequence

Common Ratio

Exponential Function

exponential growth function

a sequence in which each term is found by multiplying the pre…

the fixed number that you multiply each time in a geometric s…

a function of the form f(x) = ab^x, where a and b are real nu…

y = a(1 + r)^t, where a >0

Geometric Sequence

a sequence in which each term is found by multiplying the pre…

Common Ratio

the fixed number that you multiply each time in a geometric s…

Add 3 to x (in the exponent)

Subtract 3 from x (in the exponent)

Add 3 (NOT in the exponent)

Subtract 3 (NOT in the exponent)

Translate left 3

Translate right 3

Translate up 3

Translate down 3

Add 3 to x (in the exponent)

Translate left 3

Subtract 3 from x (in the exponent)

Translate right 3

Exponential Function

Compound Interest

Continuous Compound Interest

Standard Exponential Graph Points

A function where the variable is an exponent.... The exponentia…

Interest calculated on both the principal and the accrued int…

P: Principal... e: the number e... r: interest rate per year... t: num…

All standard exponential graphs go through the point x=0, y=1…

Exponential Function

A function where the variable is an exponent.... The exponentia…

Compound Interest

Interest calculated on both the principal and the accrued int…

Add 3 to x (in the exponent)

Subtract 3 from x (in the exponent)

Add 3 (NOT in the exponent)

Subtract 3 (NOT in the exponent)

Translate left 3

Translate right 3

Translate up 3

Translate down 3

Add 3 to x (in the exponent)

Translate left 3

Subtract 3 from x (in the exponent)

Translate right 3

Exponential Function

Compound Interest

Continuous Compound Interest

Standard Exponential Graph Points

A function where the variable is an exponent.... The exponentia…

Interest calculated on both the principal and the accrued int…

P: Principal... e: the number e... r: interest rate per year... t: num…

All standard exponential graphs go through the point x=0, y=1…

Exponential Function

A function where the variable is an exponent.... The exponentia…

Compound Interest

Interest calculated on both the principal and the accrued int…

Add 3 to x (in the exponent); for exam…

Subtract 3 from x (in the exponent)

Add 3 (NOT in the exponent)

Subtract 3 (NOT in the exponent)

Translate left 3

Translate right 3

Translate up 3

Translate down 3

Add 3 to x (in the exponent); for exam…

Translate left 3

Subtract 3 from x (in the exponent)

Translate right 3