Exponent Laws

Product Rule & Quotient Rule

100

Simplify.

(m⁶)(m⁸)

m¹⁴

200

Simplify and evaluate.

5⁹ ÷ 5⁵

5⁴ = 625

300

Simplify.

(a⁵)(b)(a²)(b³)

a⁷b⁴

400

Simplify and evaluate.

(2³)(3⁵) ÷ 3⁴

(2³)(3) = 24

500

Simplify and evaluate.

(9^-4)(9¹⁶) ÷ [(9⁴)(9⁶)]

9² = 81

Power of a Power

100

Simplify by writing as a single power.

(2⁴)³

2¹²

200

Simplify by writing as a single power.

[(-7)³]¹²

(-7)³⁶

300

Simplify by writing as a single power.

(6³)² ÷ 6³

6³

400

Simplify by writing as a single power.

(8²)(8³)⁴

8¹⁴

500

Simplify.

(3⁴)⁵(6²)⁸

(3²⁰)(6¹⁶)

Distributive Rules

100

Simplify.

(a²b)⁶

a¹²b⁶

200

Simplify.

(x³ ÷ y⁶)²

x⁶ ÷ y¹²

300

Simplify.

(m³n⁹ ÷ m²n⁶)⁵

m⁵n¹⁵

400

Simplify by writing as a single power.

(4³)(7³)

28³

500

Simplify by writing as a single power and evaluate.

(-8³) ÷ 4³

(-2)³ = -8