# Study sets matching "algebra rules exponents"

Product of powers

Power of a power

Power of a product

Quotient of powers

If multiplying two numbers with the same base, add the exponen…

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 expon…

Product of powers

If multiplying two numbers with the same base, add the exponen…

Power of a power

If raising a power to a power, multiply the exponents.

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

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 t…

this says that to raise a power to a power you need to multipl…

negative exponents in the denominator get moved to the numerat…

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 t…

power rule (powers to powers)

this says that to raise a power to a power you need to multipl…

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.

Product Rule

Quotient Rule

Zero Exponent Rule

Power Rule

To multiply when two bases are the same, write the base and AD…

To divide when two bases are the same, write the base and SUBT…

Any base (except 0) raised to the zero power is equal to one

To raise a power to another power, write the base and MULTIPLY…

Product Rule

To multiply when two bases are the same, write the base and AD…

Quotient Rule

To divide when two bases are the same, write the base and SUBT…

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 t…

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…

Monomials

Degree of a Monomial

Rule for Multiplying Exponential Expres…

Rule for Simplifying a Power of an Expo…

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.

you add the exponents

you multiply the exponents

1

subtract the top exponent from the bott…

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..

Product rule

Quotient rule

Zero exponent rule

Power rule

To multiply when two bases are the same, write the bases and A…

To divide when two bases are the same, write the base and SUBT…

Any base (except 0) raised to the zero power is one

To raise a power to another, write the base and MULTIPLY the e…

Product rule

To multiply when two bases are the same, write the bases and A…

Quotient rule

To divide when two bases are the same, write the base and SUBT…

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

**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 expone…

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 expone…

a

**constant**isa term that has no variable

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 expone…

When dividing quantities with the same base, subtract expondan…

When a quantity raised to an exponent is rises to another expo…

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 expone…

X^36/x^13 =x^23

When dividing quantities with the same base, subtract expondan…

when multiplying like bases...

when raising a power to a power...

when raising a product to a power or mu…

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