# Study sets matching "exponents exponential functions"

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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. a³…

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. a³…

Power of a Power property

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

Exponent

Term

Coefficient

exponential equation

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

A single number or variable or numbers and variables multiplie…

A number multiplied to a variable in a term.

An equation that has the variable as the exponent.

Exponent

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

Term

A single number or variable or numbers and variables multiplie…

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Compound Interest

Decay Factor

Exponential Decay

Exponential Function

Interest calculated on the initial principal and also on the a…

The rate at which a value decreases

Process of reducing an amount by a consistent percentage rate…

Process of changing an amount by a consistent percentage rate…

Compound Interest

Interest calculated on the initial principal and also on the a…

Decay Factor

The rate at which a value decreases

square root

perfect square

radical sign

radicand

a number that when multiplied by itself equals a given number

a number that has integers as square roots

the math symbol that represent square root

the number under the radical sign

square root

a number that when multiplied by itself equals a given number

perfect square

a number that has integers as square roots

Exponential Function

Initial Value of an Exponential Function

Exponential Growth Function

Exponential Decay Function

a function that can be described by an equation of the form y=…

the amount before measuring growth or decay ... "a"

A function of the form y= ab^x, where a>0 and b>1

A function of the form f(x) = ab^x, where a>0 and 0<b<1.

Exponential Function

a function that can be described by an equation of the form y=…

Initial Value of an Exponential Function

the amount before measuring growth or decay ... "a"

exponential function

growth or decay factor

initial value

rate

y=starting value(growth factor)^x

the fixed multiplier

the starting amount or y-intercept of the graph

(1 - growth factor) or (growth factor - 1)

exponential function

y=starting value(growth factor)^x

growth or decay factor

the fixed multiplier

order of magnitude

exponential function

compound interest

zero exponent

A quantity can be defined as the power of 10 nearest the quant…

y=ab^x

interest earned on both the principal amount and any interest…

Any nonzero number to the zero power is 1.

order of magnitude

A quantity can be defined as the power of 10 nearest the quant…

exponential function

y=ab^x

Exponential Growth and Exponential Deca…

Growth Factor

Decay Factor

Compound Interest Formula

y = A time B to the power of X

base (b) = 1 + percent rate (decimal form)

base (b) = 1 - percent rate (decimal form)

A = p(1 + r/n) to the power of nt

Exponential Growth and Exponential Deca…

y = A time B to the power of X

Growth Factor

base (b) = 1 + percent rate (decimal form)

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.

compound interest

decay factor

exponential decay

exponential function

interest earned on both the principal amount and any interest…

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

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 num…

compound interest

interest earned on both the principal amount and any interest…

decay factor

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

Order of Magnitude

Scientific Notation

Exponential Decay

Exponential Growth

The power of 10 nearest to the quantity

A number written in the form c x 10^n where c is between 1 and…

When a > 0 and 0 < b < 1 in the function y=ab^x

When a > 0 and b >1 in the function y= ab^x

Order of Magnitude

The power of 10 nearest to the quantity

Scientific Notation

A number written in the form c x 10^n where c is between 1 and…

First Power

Zero Power

Undefined answer

Negative Exponents

- any number to the 1st power = that number

- any number to the 0 power = 1

- if you get an undefined answer = 0 raised to the 0 power

- a number to a negative exponent = 1 divided by that number r…

First Power

- any number to the 1st power = that number

Zero Power

- any number to the 0 power = 1

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. a³…

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. a³…

Power of a Power property

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

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.

to find the power of a power, multiply the exponents.

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

Product of powers property

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

Power of a Power property

to find the power of a power, multiply the exponents.

Monomial

Constant

Zero Exponent Property

Negative exponent

A polynomial with one term (it has a coefficient and a variabl…

monomials that contain no variables

Any nonzero number raised to the zero power is equal to 1

Any nonzero real number raised to a negative power

Monomial

A polynomial with one term (it has a coefficient and a variabl…

Constant

monomials that contain no variables

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. a³…

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. a³…

Power of a Power property

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

Zero and Negative Exponents... - Zero as…

Zero and Negative Exponents... - Negative…

Multiplying Powers With the Same Base

Raising a Power to a Power

For every nonzero number a, a^0 = 1.

For every nonzero number a and integer n, a^-n = 1/a^n.

To multiply powers with the same base, add the exponents. a^m…

To raise a power to a power, multiply the exponents. (5^4)^2 =…

Zero and Negative Exponents... - Zero as…

For every nonzero number a, a^0 = 1.

Zero and Negative Exponents... - Negative…

For every nonzero number a and integer n, a^-n = 1/a^n.

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Power, base, exponent

Product of Powers

Quotient of Powers

Negative Exponents

The expression x to the n is an example of _________________ w…

A rule that states that in order to multiply two powers with t…

A rule that says that to divide powers with the same base, you…

x to the negative power of n equals 1 over x to the power of n…

Power, base, exponent

The expression x to the n is an example of _________________ w…

Product of Powers

A rule that states that in order to multiply two powers with t…

Compound Interest

Decay Factor

Exponential Decay

Exponential Function

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

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

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

A function that repeatedly multiplies an initial amount by the…

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, fo…

Increasing

Increasing

Decreasing

Decreasing

if b is greater than one and the exponent is positive is it an…

If b is between 0 and 1 and the exponent is negative is it an…

If b is between 0 and 1 is it an increasing or decreasing grap…

If exponent is negative

Increasing

if b is greater than one and the exponent is positive is it an…

Increasing

If b is between 0 and 1 and the exponent is negative is it an…