Laws of Exponents

Exponents

100

Identify the base: 3²

What is 3

200

Identify the exponent 1⁶

What is 6.

300

Write using exponents: -3 x -3 x -3

What is (-3)³

400

Write using exponents: -h x h x h x h x h

What is -h⁵

500

Write in expanded form: -9⁴

What is -9 x 9 x 9 x 9

Product of Powers

100

You do this to the exponents to multiply powers with the same base.

What is add.

200

Simplify: 5² x 5⁶

What is 5⁸

300

Simplify: (2x²⁾ x (4x³)

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

(2xy)⁵ x (2xy)¹³ x (2xy)^-8

(2xy)¹⁰

Quotient of Powers

100

You do this to the exponents when dividing powers with the same base.

What is subtract

200

Simplify: 2⁵/2²

What is 8

300

Simplify: w³/w⁸

What is 1/w⁵

400

Simplify: -18a⁷/6a³

What is -3a⁴

500

Simplify: 12x²/6x³

What is 2/x

Power of Powers

100

You do this to the exponents when finding the power to a power.

What is multiply

200

Simplify: (z¹¹)⁵

What is z⁵⁵

300

Simplify: (4x³)²

What is 16x⁶

400

Simplify: (14y)⁴

What is 38416y⁴

500

Simplify: (-5x²y⁶)³

What is -125x⁶y¹⁸

Zero Exponent

100

Any number raised to the zero power is

What is 1

200

2⁰

What is 1

300

(-4)⁰

1

400

-(17)⁰

-1

500

-635⁰

-1