# Study sets matching "math properties exponents"

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Product Rule

Quotient Rule

Power Rule 1 (One Base in Parenthesis)

Power Rule 2 (Multiple Bases in Parenth…

Same base, add exponents.

Same base, subtract exponents.

Power raised to power, multiply exponents.

Distribute exponent to each base.

Product Rule

Same base, add exponents.

Quotient Rule

Same base, subtract exponents.

exponent

base

product rule

quotient rule

A mathematical notation indicating the number of times a quant…

The number that is multiplied by itself

When multiplying two powers that have the same base, you can a…

When dividing two powers that have the same base, you can subt…

exponent

A mathematical notation indicating the number of times a quant…

base

The number that is multiplied by itself

base

Identity Exponent

Zero Exponent

Product of Powers

the quantity in a power that is used as the factor

a nonzero quantity raised to the first power is equal to itself

a nonzero quantity raised to the zero power is equal to 1.

to multiply powers with the same base, add the exponents

base

the quantity in a power that is used as the factor

Identity Exponent

a nonzero quantity raised to the first power is equal to itself

base

(7z⁴)/y²

Zero Exponent

Product of Powers

the quantity in a power that is used as the factor

Simplify the given algebraic expression.

a nonzero quantity raised to the zero power is equal to 1.

to multiply powers with the same base, add the exponents

base

the quantity in a power that is used as the factor

(7z⁴)/y²

Simplify the given algebraic expression.

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

8 + 5 + 3 = 3 + 5 + 8

12 x 3 x 9 = 9 x 12 x 3

(a + b) + c = a + (b + c)

12 x (3 x 9) = (12 x 3) x 9

Commutative Property of Addition

8 + 5 + 3 = 3 + 5 + 8

Commutative Property of Multiplication

12 x 3 x 9 = 9 x 12 x 3

base

exponent

exponential form

power

The number that is going to be raised to a power.

A mathematical notation indicating the number of times a quant…

when a number is written with a base and exponent

is the product of multiplying a number by itself.

base

The number that is going to be raised to a power.

exponent

A mathematical notation indicating the number of times a quant…

Monomial

Product of powers

Quotient of powers

Zero exponents

A number, a variable, lr a product of a number and one or more…

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

If dividing two numbers with the same base, subtract the expon…

Any nonzero number with an exponents of zero is equivalent to 1

Monomial

A number, a variable, lr a product of a number and one or more…

Product of powers

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

Product of powers

Power of a power property

Power of a product property

Quotient of powers

To multiply powers with the same base, add their exponents.... 4^…

To find a power of a power, multiply the exponents. ... (4^2)^4=4…

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

To divide powers with the same base, subtract their exponents…

Product of powers

To multiply powers with the same base, add their exponents.... 4^…

Power of a power property

To find a power of a power, multiply the exponents. ... (4^2)^4=4…

(Multiplying) Powers with the same base

(Dividing) powers with the same base

Power of a (product)

Power of a (quotient)

Add exponents

Subtract exponents

Multiplying exponents

Multiply exponents

(Multiplying) Powers with the same base

Add exponents

(Dividing) powers with the same base

Subtract exponents

Product of Powers

Power of a Power

Power of a Product

Simplifying Monomial Expressions

To multiply two powers that have the same base, add the expone…

To find the power of a power, multiply the exponents

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

Write an expression in which: each variable base appears exact…

Product of Powers

To multiply two powers that have the same base, add the expone…

Power of a Power

To find the power of a power, multiply the exponents

Product Rule

Quotient Rule

Power Rule I

Power Rule II

Add exponents when they have the same base and multiply bases.…

Subtract exponents when they have the same bases and divide ba…

Multiply exponents together and do base to the power of the ex…

Distribute exponent out side parenthesis to all numbers in par…

Product Rule

Add exponents when they have the same base and multiply bases.…

Quotient Rule

Subtract exponents when they have the same bases and divide ba…

Zero exponent

Negative exponent

Product of powers

Quotient of powers

Any number (except 0) with an exponent of 0 equals 1.

Any number raised to a negative power is equal to the reciproc…

To multiply powers with the same base, keep the base and add t…

To divide powers with the same base, keep the base and subtrac…

Zero exponent

Any number (except 0) with an exponent of 0 equals 1.

Negative exponent

Any number raised to a negative power is equal to the reciproc…

When do you add the exponents

When do you subtract the exponents

When do you multiply the exponents

What is anything to the zero power

When multiplying things with like bases

When dividing things with like bases

When a power is raised to a power

1

When do you add the exponents

When multiplying things with like bases

When do you subtract the exponents

When dividing things with like bases