Exponents, Square & Cube Root Review

Product & Quotient Rule

100

Simplify: 2³ · 2⁴

2⁷

200

Simplify: 5⁶ ÷ 5²

5⁴

300

Simplify: 3⁵ · 3⁻²

3³

400

Simplify: 10² · 10⁷ ÷ 10³

10⁶

500

Simplify: (8⁴ ÷ 8²) · 8³

8⁵

Zero & Negative Exponents

100

Simplify: 5⁰

1

200

Simplify: 2⁻³

1/2³

300

Simplify: 7⁰ · 3²

3²

400

Simplify: (4⁻²)²

4⁻⁴

500

Simplify: 10⁰ ÷ 5⁻²

5²

Powers & Same Exponent, Different Bases

100

Simplify: (2³)²

2⁶

200

Simplify: (5²)³

5⁶

300

Simplify: 2³ · 3³

6³

400

Simplify: 4² · 7²

28²

500

Simplify: (6⁴)² · 2⁸

6⁸ · 2⁸ = 12⁸

Square & Cube Roots

100

Solve for x: x² = 64

x = ±8

200

Solve for x: x² = 225

x = ±15

300

Solve for x: x³ = 125

x = 5

400

Solve for x: x² − 20 = 29

x² = 49 → x = ±7

500

Solve for x: x³ + 10 = 135 

 x³ = 125 → x = 5

Multi-Rule Problems

100

Simplify: (2³ · 2⁴) ÷ 2²

2⁵

200

Simplify: (3² · 3⁻¹)²

3²

300

Simplify: (5³)² ÷ 5⁴

5²

400

Simplify: (10⁻²)³ · 10⁴

10⁻²

500

Simplify: (2⁴ · 2⁻² ÷ 2³)² 

2^-2