Laws of Exponents

Product of Powers Property

100

Simplify using Laws of Exponents: 

     c · c⁵

c⁶

200

Simplify using Laws of Exponents: 8c³ * c⁶

8c⁹

300

Simplify using Laws of Exponents: d²² · d¹²

d³⁴

400

Simplify using Laws of Exponents: x⁷y² * x⁶y⁶

x¹³y⁸

500

Simplify using Laws of Exponents: 3x⁴y² * x⁷y³

3x¹¹y⁵

Power of a Power Property

100

Simplify using Laws of Exponents: (x⁴)⁴

x¹⁶

200

Simplify using Laws of Exponents: (x³)⁵

x¹⁵

300

Simplify using Laws of Exponents: (2x⁴)³

8x¹²

400

Simplify using Laws of Exponents: (3x⁸)⁴

81x³²

500

Simplify using Laws of Exponents: (4x⁵y³)²

16x¹⁰y⁶

Power of a Product Property

100

Simplify using Laws of Exponents:(4x)⁴x

256x⁵

200

Simplify using Laws of Exponents: (2x)² * x⁷

4x⁹

300

Simplify using Laws of Exponents: (6b¹²)² * (3b²)

108b²⁶

400

Simplify using Laws of Exponents: (-4n)³ * n⁷

-64n¹⁰

500

Simplify using Laws of Exponents: (-5s)⁴ * -3s⁸

-1875s¹²

Quotient of Powers Property

100

Simplify using Laws of Exponents: x¹⁰/x¹⁰

1

200

Simplify using Laws of Exponents: z³/z²

z

300

Simplify using Laws of Exponents: 15x⁸/3x³

5x⁵

400

Simplify using Laws of Exponents: 12x⁹y⁴/10x⁷y⁵

(6x^2)/(5y)

500

Simplify using Laws of Exponents: 

(144x^12y^9z^4)/(16x^14y^7z^7)

(9y^2)/(x^2z^3)

Mr. Harvey's Choice

100

(3x³y⁴)²

9x⁶y⁸

200

(8xy³)⁰

1

300

5x^-3

5 / x³

400

8y⁴ * (2y²)³

64y¹⁰

500

(2w^3*4w^2)^2/w^8

64w²

Final Jeopardy

100

(-4)³/(-4)⁷

1/(-4)⁴

200

h² x h^-2 x 2

2

300

t^-13 x t⁴ x t⁶

1/t³

400

5x²y(2x⁴y^-3)

10x⁶/y²

500

(-7a²b³c⁰/3a³b⁴c³)^-4

81a⁴b⁴c¹²/2401