Laws of Exponents

(3x⁴)⁵

243x²⁰

(7x³)⁰

1

7x⁰

7

1/a⁻⁵

a⁵

k⁻⁶

1/k⁶

(-7x²)(4x⁴)

-28x⁶

x⁸ ÷ x⁵

x³

(6h²)⁴

1296h⁸

(-2x³y²)(5xy⁴)

-10x⁴y⁶

exponent

the small number in a power that tells how many times to multiply the base number

base

in a power, it tells what number is being multiplied

quotient rule

if you are dividing and the base numbers are the same, find the difference between the exponents

zero power

any number to the zero power is one

power of one

any number to the power of one is that number

Power to a Power

Multiply the exponents together and keep the base the same.

Product Rule

Add the exponents together and keep the base the same.

Negative Exponent Rule

When a base is raised to a negative power, reciprocate (find the reciprocal of) the base, keep the exponent with the original base, and drop the negative.

2x⁷÷8x²

x⁵/4