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 to multiply powers with the same base.

What is add.

200

Simplify: 5² x 5⁶

What is 5⁸

300

Simplify: (2x²)(4x³)

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

Make up your own product of powers question.

What is answer it correctly!

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. Get rid of that nasty negative!

400

18a⁷/6a³

What is 3a⁴

500

Simplify: 12x³/6x²

What is 2x

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

2⁰

What is 1

300

To get rid of the of the nasty negative exponents, you flip this and switch these to positive.

What is flip the fraction and switch the exponents to positive

400

Write using a positive exponent 2^-4

What is 1/16. NO DECIMALS!

500

Write x^-1 using positive exponents.

What is 1/x¹