# Study sets matching "math properties exponents"

Study sets

Diagrams

Classes

Users

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

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

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.

(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

Law 1

Law 2

Law 2a

Law 3

When multiplying two bases that are the same you add exponents.

When raising a power to another power you multiply exponents.

To find the power of a product you distribute the exponent.

When dividing two bases that are the same you subtract exponen…

Law 1

When multiplying two bases that are the same you add exponents.

Law 2

When raising a power to another power you multiply exponents.

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…

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…

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…

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

Product of like bases

Quotient of like bases

Power to a power

Product to a power

To multiply powers with the same base, add the exponents and k…

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

To raise a power to a power, keep the base and multiply the ex…

To raise a product to a power, raise each factor to the power

Product of like bases

To multiply powers with the same base, add the exponents and k…

Quotient of like bases

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

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…