Exponent Rules Review

Multiply/Divide

100

Simplify: 6³/6²

6

200

Simplify: 5/5²

1/5

300

Simplify: (8⁶)(8)

8⁷

400

Simplify: (x²y)(x⁵y⁸)

x⁷y⁹

500

Simplify: (x³y²)(x³y²)/(x²)(x²)

x²y⁴

Power to a Power

100

Simplify: (2²)⁴

2⁸

200

Simplify: (x⁹)⁵

x⁴⁵

300

Simplify: (a⁶b⁴)⁵

a³⁰b²⁰

400

Simplify: (5x⁴)³

125x¹²

500

Simplify: (1/3c⁶)³

1/27c¹⁸

Zero

100

Simplify: 6⁰

1

200

Simplify: 9x⁰

9

300

Simplify: 6(x+y)⁰

6

400

Simplify: 4x⁰y⁰z⁴

4z⁴

500

Simplify: x⁰+y⁰+z⁰

3

Negatives

100

Your answer should have positive exponents.

(-6x)^-2

1/(6x)²

200

Your answer should have positive exponents. 

1/3^-2

3²

300

Your answer should have positive exponents. 

8^-3

1/8³

400

Your answer should have positive exponents. 

5b^-4

5/b⁴

500

Your answer should have positive exponents. 

(-y)^-2

1/(-y)²

Multi-Step

100

Simplify: (5^-4)(5⁴)

1

200

Simplify: (-y)^-2(-y)^-2

1/(-y)⁴

300

Simplify: (-20x⁴y²)/(4x³y⁶)

-5x/y⁴

400

Simplify: (3x^-2g³)(6x⁴g^-4)

18x²/g

500

Simplify: 2²/(2²x^-2y³)^-4

2¹⁰y¹²/x⁸