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 3³

400

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

What is h⁵

500

Write in expanded form: 9⁶

What is 9 x 9 x 9 x 9 x 9 x 9

Product of Powers

100

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

What is add.

200

Simplify: 5² * 5⁶

What is 5⁸

300

Simplify: 2x² times 4x³

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

Find the missing factor: (3x⁶)(???) = (21x¹⁵).

What is 7x⁹

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 2³

300

Simplify: w³/w⁸

What is w^-5 or 1/w⁵

400

(18a⁷)/(6a³)

What is 3a⁴

500

Simplify: 12x²/6x³

What is 2x^-1 or 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: (4³)²

What is 4⁶ or 4096

400

Simplify: (3y)⁴

What is 3⁴y⁴ or 81y⁴

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2⁰

What is 1

300

-4⁰

What is -1

400

Write using a positive exponent w^-5

What is 1/w⁵

500

Write x^-1 using positive exponents.

What is 1/x¹ or 1/x