Study sets matching "algebra rules exponents"

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Study sets matching "algebra rules exponents"

6 terms
Algebra Exponents Rules
a^m x a^n =
a^m/a^n =
(a^m)^n =
a^m x b^m =
a^m+n (Rule)
a^m-n (Rule)
a^m x n (Rule)
a x b^m (Rule)
a^m x a^n =
a^m+n (Rule)
a^m/a^n =
a^m-n (Rule)
7 terms
Rules of exponents(Algebra)
Product of powers
Power of a power
Power of a product
Quotient of powers
If multiplying two numbers with the same base, add the expone…
If raising a power to a power, multiply the exponents.
Find the power of each factor of the parenthesis and multiply.
If dividing two numbers with the same base, subtract the expo…
Product of powers
If multiplying two numbers with the same base, add the expone…
Power of a power
If raising a power to a power, multiply the exponents.
16 terms
Algebra - Rules of exponents
x^a = x^b
x^ -a
(x^a)(x^b)
x^a/x^b
a = b
1/x^a
x^ a+b
x^a-b = 1/x^b-a
x^a = x^b
a = b
x^ -a
1/x^a
16 terms
Algebra and Exponents Properties and Rules
Commutative Property of Multiplication
Commutative Property of Addition
Associative Property of Multiplication
Associative Property of Addition
Change of Order
Change of Order
Change of Parenthesis
Change of Parenthesis
Commutative Property of Multiplication
Change of Order
Commutative Property of Addition
Change of Order
14 terms
Algebra rules for exponents
zero exponents rule
power rule (powers to powers)
negative exponent rule for denominator
product rule
this says that anything raised to the zero power is 1 (ex: a…
this says that to raise a power to a power you need to multip…
negative exponents in the denominator get moved to the numera…
this says multiply two exponents with the same base, you keep…
zero exponents rule
this says that anything raised to the zero power is 1 (ex: a…
power rule (powers to powers)
this says that to raise a power to a power you need to multip…
Algebra Exponents Rules
multiplying with common base
can you ever end a problem with a nega…
exponent outside of parenthesis that a…
can you ever have a negative in the de…
add exponets
no
multiply the exponents
no
multiplying with common base
add exponets
can you ever end a problem with a nega…
no
algebra 1 rules of exponents
Am * An=
(Am)n=
(AB)m=
Am/An=
Am+n
Amn
AmBm
Am-n
Am * An=
Am+n
(Am)n=
Amn
Algebra - Exponent Rules
Multiplying exponents with the same base
Dividing exponents with the same base
Raising an exponent to a power
Distributive Property of Exponents
If the numbers have the same base, you can add the powers.
If the numbers have the same base, you can subtract the powers.
If a base raised to a power is again raised to another power,…
A multiplication raised to a power can be written as multiple…
Multiplying exponents with the same base
If the numbers have the same base, you can add the powers.
Dividing exponents with the same base
If the numbers have the same base, you can subtract the powers.
Algebra 1 Exponent rules
multiplying with same base
power to a power
dividing with same base
power of a product
add exponents
multiply exponents
subtract exponents
distribute exponents
multiplying with same base
add exponents
power to a power
multiply exponents
Algebra 1: Exponent Rules
Product Rule
Quotient Rule
Zero Exponent Rule
Power Rule
To multiply when two bases are the same, write the base and A…
To divide when two bases are the same, write the base and SUB…
Any base (except 0) raised to the zero power is equal to one
To raise a power to another power, write the base and MULTIPL…
Product Rule
To multiply when two bases are the same, write the base and A…
Quotient Rule
To divide when two bases are the same, write the base and SUB…
7 terms
algebra 1 exponent rules
a^0=1
a^-b= 1/a^n
a^m•a^n= a^m+n
(a^n)^m=a^n•m
anything to the zero equals 1
exponent moves to the bottom (kick it to the basement)
add exponents
drop it like its hot
a^0=1
anything to the zero equals 1
a^-b= 1/a^n
exponent moves to the bottom (kick it to the basement)
Exponent Rules- Algebra 2
Product Rule
Quotient Rule
Power Rule
Group of Factors
If the operation is MULTIPLICATION and the bases are the same…
If the operation is DIVISION and the bases are the same, keep…
When raising a Power, to a Power, keep the base and MULTIPLY…
Use the same rule as the Power rule on each factor in the group
Product Rule
If the operation is MULTIPLICATION and the bases are the same…
Quotient Rule
If the operation is DIVISION and the bases are the same, keep…
algebra exponent rules
scientific notation
x∧a x∧b
x∧a÷x∧b
(x∧a)∧∧b
a×10∧b 1≤a<10 b=integer
x∧ a+b
x∧ a−b
x∧ab
scientific notation
a×10∧b 1≤a<10 b=integer
x∧a x∧b
x∧ a+b
18 terms
Algebra II Exponent Rules
Monomials
Degree of a Monomial
Rule for Multiplying Exponential Expre…
Rule for Simplifying a Power of an Exp…
A number, variable, or a product of a number and variables.
The sum of the exponents of the variables.
If m and n are integers, then x^m • x^n = x^m+n
If m and n are integers, then (x^m)^n = x^mn
Monomials
A number, variable, or a product of a number and variables.
Degree of a Monomial
The sum of the exponents of the variables.
Algebra II Exponent rules
Product rule
Quotient rule
Zero exponent rule
Power rule
To multiply when two bases are the same, write the bases and…
To divide when two bases are the same, write the base and SUB…
Any base (except 0) raised to the zero power is one
To raise a power to another, write the base and MULTIPLY the…
Product rule
To multiply when two bases are the same, write the bases and…
Quotient rule
To divide when two bases are the same, write the base and SUB…
18 terms
Algebraic Expressions and Rules of Exponents
like terms have the same
a constant is
coefficient of a term
7x-5... 7 is the ____... 5 is the ____
variables and the corresponding variables have the same expon…
a term that has no variable
a number that is multiplied by variable
coefficient, constant
like terms have the same
variables and the corresponding variables have the same expon…
a constant is
a term that has no variable
Algebra 1 exponent rules
Product of a power
Power of a power
Power of a product
Quotient of a power
Keep the base add the exponents 2^2 x 2^3 = 2^5
Multiply the exponents (2^2)^3 = 2^6
Apply the exponents to the base (9x)^2 = 9^2 x^2
Division with same base, subtract exponents y^6/y^2 = y^6-2 =…
Product of a power
Keep the base add the exponents 2^2 x 2^3 = 2^5
Power of a power
Multiply the exponents (2^2)^3 = 2^6
Algebra 1 exponent rules
x^24•x^40= x^65
X^36/x^13 =x^23
(X^5)12 = x^60
4^0 = 1... 0^0 = undefined
When multiplying quantities with the same base, add the expon…
When dividing quantities with the same base, subtract exponda…
When a quantity raised to an exponent is rises to another exp…
And number to the zero power is one. Except 0^0
x^24•x^40= x^65
When multiplying quantities with the same base, add the expon…
X^36/x^13 =x^23
When dividing quantities with the same base, subtract exponda…
algebra-exponent rules
add the exponents
subtract the exponents
multiply the exponents
the exponents stay the same
when the bases are multiplied...
when the bases are divided...
when the bases are raised to a power...
when the bases are added or subtracted...
add the exponents
when the bases are multiplied...
subtract the exponents
when the bases are divided...
5 terms
Algebra- Exponent Rules
Multiplying powers with same bases.
Dividing powers with same bases.
Raising a power to an exponent.
Multiplying powers within same exponent
(X^m)(X^n) = X^(m+n)
(X^m) / (X^n) = X^(m-n)
(X^m)^n = X^(m x n)
(X^n) x (Y^n) = (X x Y)^n
Multiplying powers with same bases.
(X^m)(X^n) = X^(m+n)
Dividing powers with same bases.
(X^m) / (X^n) = X^(m-n)
12 terms
Jones Algebra - Product Rule of Exponents
Simplify: x²(x³)
Simplify: x²y⁷(x³y¹)
Simplify: x⁵x
Simplify: x²xx
x⁵
x⁵y⁸
x⁶
x⁴
Simplify: x²(x³)
x⁵
Simplify: x²y⁷(x³y¹)
x⁵y⁸
Algebra Exponent Rules
when multiplying like bases...
when raising a power to a power...
when raising a product to a power or m…
when diving like bases...
add the exponents
multiply the exponents
everything gets the power
subtract the exponents
when multiplying like bases...
add the exponents
when raising a power to a power...
multiply the exponents
Algebra [H] Exponent Rules
a^0
a^-n
a^m × a^n
(a^m)^n
1∫
a(1/n)
a^m+n
a^mn
a^0
1∫
a^-n
a(1/n)
algebra exponent rules
you add the exponents
you multiply the exponents
1
subtract the top exponent from the bot…
if you are multiplying powers with the same base..
raising a power to a power..
anything/itself
when dividing exponents with the same base
you add the exponents
if you are multiplying powers with the same base..
you multiply the exponents
raising a power to a power..
Rules of Exponents- Algebra 1 PAP
multiplying powers
dividing powers
raising a power to a power
negative exponents
base stays the same, add the exponents... if there are number co…
base stays the same, subtract the exponents... if there are numb…
base stays the same, multiply the exponents... if there is more…
only the number or variable with the negative exponent gets m…
multiplying powers
base stays the same, add the exponents... if there are number co…
dividing powers
base stays the same, subtract the exponents... if there are numb…
Algebra Chapter 5: Exponent Rules
Product of Powers
Power of a Power
Power of a Product
Negative Exponent
m n m+n... X * X = X
n... ( m) m*n... ( X ) = X
n n n... ( XY ) = X * Y
make a reciprocal and change the exponent sign... -n n... X = 1/X
Product of Powers
m n m+n... X * X = X
Power of a Power
n... ( m) m*n... ( X ) = X
Jones Algebra - Product Rule of Exponents
Simplify: x²(x³)
Simplify: x²y⁷(x³y¹)
Simplify: x⁵x
Simplify: x²xx
x⁵
x⁵y⁸
x⁶
x⁴
Simplify: x²(x³)
x⁵
Simplify: x²y⁷(x³y¹)
x⁵y⁸
5 terms
exponents rules for algebra (ch.8)
exponents with addition and subtraction
exponents with multiplication and divi…
if there is a negative power...
If the exponent is 0...
powers must be the same
bases must be the same.
you must rewrite the monomial as a fraction. ex. N⁻²= 1/N²
the monomial equals 1.
exponents with addition and subtraction
powers must be the same
exponents with multiplication and divi…
bases must be the same.
11 terms
Algebra II - Exponents and Polynomials: Rules
a^n X a^m =
a^n/a^m =
(a^n)^m
a^-n/1 is incorrect; instead it is wri…
a^n+m
a^n-m
a^n X m
1/a^n
a^n X a^m =
a^n+m
a^n/a^m =
a^n-m
7 terms
Algebra: Chapter 8 Exponent Rules
Product of Power Property
Power of a Power Property
Power of a Product Property
Zero Exponent Rule
aⁿ×aⁿ=aⁿ⁺ⁿ... 5²×5³=5²⁺³=5⁵
(aⁿ)ⁿ=aⁿ×ⁿ... (5²)³=5²×³=5⁶
(ab)ⁿ=aⁿ×bⁿ... (5×4)²=5²×4²=25×16
a⁰=1... 5⁰=1... ⁻5⁰= ⁻1... (⁻5)⁰=1
Product of Power Property
aⁿ×aⁿ=aⁿ⁺ⁿ... 5²×5³=5²⁺³=5⁵
Power of a Power Property
(aⁿ)ⁿ=aⁿ×ⁿ... (5²)³=5²×³=5⁶
Algebra P2: Exponent Rules
what are exponents?
using the product rule
the quotient rule
zero exponent rule
1²... 1= base... ₂= exponent
same bases being multiplied to different powers, add the expo…
when dividing with the same base, subtract your exponents
b⁰=1
what are exponents?
1²... 1= base... ₂= exponent
using the product rule
same bases being multiplied to different powers, add the expo…
11 terms
Algebra 1 Exponent Rules- Study
P to the -8th power
C to the 22nd power
(H to the 18th power) 20th power
Y to the 36th power
P to the 4th power... ______________... P to the 12th power
C to the 12th power * C to the 10th power
H to the 180th power
(Y to the 4th power) 18th power
P to the -8th power
P to the 4th power... ______________... P to the 12th power
C to the 22nd power
C to the 12th power * C to the 10th power
13 terms
Exponents and Exponent Rules
Product of Powers
Power of Quotients
Negative Power
Power of exponent
Product of Powers
Power of Quotients
77 terms
Algebra II - Rules for exponents and radical expressions
1
2
3
4
When multiplying exponential expressions that have the same b…
When multiplying exponential expressions that have the same b…
When dividing exponential expressions that have the same base…
When dividing exponential expressions that have the same base…
1
When multiplying exponential expressions that have the same b…
2
When multiplying exponential expressions that have the same b…
8 terms
[Algebra II] 6.0+: Exponent Rules
a^m + aⁿ =
(a^m)ⁿ =
(a*b)^m =
a⁰ =
a^m+n
a^m*n
a^m * b^m
1, but a ≠ 0
a^m + aⁿ =
a^m+n
(a^m)ⁿ =
a^m*n
11 terms
Horn Algebra - Power to Power Exponent Rule
Simplify: (x²)²
Simplify: (x³)²
Simplify: (2x⁴)²
Simplify: (7x³)²
x⁴
x⁶
4x⁸
49x⁶
Simplify: (x²)²
x⁴
Simplify: (x³)²
x⁶
10 terms
Rules of Exponents
Exponents
Base
Zero Exponent
Negative Exponent
Also known as the index or power, tells you how many times yo…
A term, variable, or number being raised to a power.
Any number raised to the zero power is equal to 1, except for…
Indicates reciprocation, with the exponent of the reciprocal…
Exponents
Also known as the index or power, tells you how many times yo…
Base
A term, variable, or number being raised to a power.
8 terms
[Algebra II] 6.0+: Exponent Rules
a^m + a^n =
(a^m)ⁿ =
(a*b)^m =
a⁰ =
a^m+n
a^m*n
a^m * b^m
1, but a ≠ 0
a^m + a^n =
a^m+n
(a^m)ⁿ =
a^m*n
Exponents and Exponent Rules
Product of Powers
Power of Quotients
Negative Power
Power of exponent
Product of Powers
Power of Quotients
7th Grade Regular/Honors Pre-Algebra: The 6 Rules of Exponents
Rule #1: If two exponents of the same…
Rule #2: If two exponents of the same…
Rule #3: If an exponent is being raise…
Rule #4: If an exponent is being raise…
add
subtract
multiply
1/x^5
Rule #1: If two exponents of the same…
add
Rule #2: If two exponents of the same…
subtract
6 terms
Algebra Exponents RULES 8.1-8.3 Review
Product of Powers
Power of a Power
Power of a Product
Quotient of Powers
Base stays the same; add the powers
Base stays the same; multiply the powers
Raise each factor to the power
Base stays the same; subtract powers
Product of Powers
Base stays the same; add the powers
Power of a Power
Base stays the same; multiply the powers
16 terms
Rules of Exponents
5³×5⁴
m⁸/m²
(w³)³
k⁶/k
5⁷
m⁶
w⁹
k⁵
5³×5⁴
5⁷
m⁸/m²
m⁶
25 terms
Exponents and Exponent Rules
x⁵
factors
base
exponent
x(x)(x)(x)(x)
numbers that are multiplied together
the number being used as a factor
tells us how many times the number is used as a factor (ex. x…
x⁵
x(x)(x)(x)(x)
factors
numbers that are multiplied together
7 terms
Rules of Exponents
Power of quotient property
Quotient of powers
Power of a Product
Power of a Power property
Power of quotient property
Quotient of powers
13 terms
Exponents and Exponent Rules
Product of Powers
Power of Quotients
Negative Power
Power of exponent
Product of Powers
Power of Quotients
17 terms
Exponent Rules
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
-8/c⁵
(8b⁴c)/(a⁴)
(8a⁷b⁶)/c⁵
(4a⁸b⁴)/c⁹
Exponent Rules
the product rule
the quotient rule
raising a quotient to a power
raising a product to a power
When your bases are the same you keep the base and add the ex…
When your bases are the same you keep the base and subtract t…
the product rule
When your bases are the same you keep the base and add the ex…
the quotient rule
When your bases are the same you keep the base and subtract t…
Exponent Rules
Product Rule
Quotient Rule
Power to a Power Rule
Negative Exponent Rule
When your bases are the same you keep the base add the expone…
When your bases are the same you keep the base subtract the e…
When you have an exponent raised to another exponent you keep…
You reciprocate
Product Rule
When your bases are the same you keep the base add the expone…
Quotient Rule
When your bases are the same you keep the base subtract the e…
8 terms
Exponent Rules
Multiplication of numbers in exponenti…
Division of numbers in exponential form
More division rules in exponential form
More Multiplication rules in exponenti…
Keep the base - add the exponents.
Keep the base - subtract the exponents.
Keep the base - subtract the exponents.... Simplify all terms.
Multiply the coefficient, keep the base, add the exponents
Multiplication of numbers in exponenti…
Keep the base - add the exponents.
Division of numbers in exponential form
Keep the base - subtract the exponents.
Rules of Exponents
When multiplying bases, you ...
When dividing bases you...
When the exponent is negative you...
every number is SECRETLY over ...
add exponents
subtract exponents
flip the fraction
1
When multiplying bases, you ...
add exponents
When dividing bases you...
subtract exponents
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