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 5^8

300

Simplify: 2x² times 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: 2⁵/2⁵

What is 2³

300

Simplify: w³/w⁸

What is w^-5

400

18a⁷b⁵/6a³b²

What is 3a⁴b³

500

Simplify: (12x²+18x⁹)/6x³

2x^-1 + 3x⁶

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)³

What is 4¹⁸

400

Simplify: (4y)⁴

What is 256y⁴

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

The result of a negative exponent (for example 2^-3)

The reciprocal 1/2³

400

Write using a positive exponent w^-5

What is 1/w⁵

500

Write x^-5 using positive exponents.

What is 1/x⁵