Laws of Exponents

Exponents

100

Identify the base: 3²

3

200

Identify the exponent: 2⁶

6

300

Write using exponents: (3 x 3 x 3)

3³

400

Write using exponents: h x h x h x h x h

h⁵

500

What is the coefficient: 10x²

10

Product of Powers

100

Simplify: 5² x 5⁶

5⁸

200

Simplify: (8x³)(-3x⁹)

-24x¹²

300

Simplify: (2x²)(4x³)(3x⁵)

24x¹⁰

400

Simplify: 7³ x 11⁴

CBS 

7³ x 11⁴

500

Simplify: 2³ x 64 x 4⁴

2¹⁷

Quotient of Powers

100

5⁶ ÷ 5⁴

5²

200

Simplify: -2x¹⁰ ÷ x⁷

-2x³

300

Simplify: 10¹⁷ ÷ 10

10¹⁶

400

12²⁵ ÷ 12²⁵

1

500

Simplify: 12x⁴ ÷ 6x^-6

2x¹⁰

Power of Powers

100

(x⁴)²

x⁸

200

Simplify: (z^-11)^-5

z⁵⁵

300

Simplify: ((-2)x⁴)⁶

(-2)⁶x²⁴

64x²⁴

400

What is the value of n in the equation?: 

(5²)¹² = (5³)ⁿ

n=8

500

Simplify: (3x²)³(4x²)³

(3³x⁶)(4³x⁶)

1728x¹²

Negative and Zero Exponents

100

(-2)⁰

1

200

-24⁰

-1

300

Rewrite using a positive exponent: (-3)^-4

1/(-3)⁴

400

Write using positive exponents: 4x^-3y²

4y²/x³

500

Write using positive exponents: (-8)⁵ ÷ ((-8)^-2)^-5

1/(-8)⁵