Laws of Exponents

Exponents

100

Identify the base: 3²

What is 3

200

Identify the exponent 12⁶

What is 6

300

Write using exponents: (3)(3)(3)(3)

What is 3⁴

400

Write using exponents: (4h)(4h)(4h)(4h)(4h)

What is (4h)⁵

500

Write in expanded form: 9⁶

What is (9)(9)(9)(9)(9)(9)

Product of Powers

100

You do this to the exponents to 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

(2x⁵y³)(-3y⁰xz⁶)²

18x⁷y³z¹²

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

400

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: (4³)²

What is 4⁶

400

Simplify: (14y)⁴

What is 38416y⁴

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is...

What is 1

200

572⁰

What is 1

300

(2/3)^-4

81/16

400

Write using a positive exponent 2/w^-5

What is 2w⁵

500

Write x^-5 using positive exponents.

What is 1/x⁵