Laws of Exponents

Multiplying

100

x²∙x³

What is x⁵

200

4³ ∙ 4⁵

What is 4⁸

300

(-2b²)(-4b³)

What is 8b⁵

400

(v²)(-5v⁷)

What is -5v⁹

500

(4x)(2x³)(3x⁶)

What is 24x¹⁰

Dividing

100

x⁵/x³

What is x²

200

6¹⁰/6³

What is 6⁷

300

-12x⁸/3x⁴

What is -4x⁴

400

x⁴y²/x³y

What is xy

500

(x⁷)(y³)(z⁹)/(x⁴)(y²)(z²)

What is x³yz⁷

Power to a Power

100

(a²)³

What is a⁶

200

(4³)³

What is 4⁹

300

(2x)⁴

What is 16x⁴

400

(-3x²)³

What is -27x⁶

500

(5x^-2)³

What is 125/x⁶

Negative Exponents

100

x^-1

What is 1/x

200

4^-2

What is 1/16

300

x⁴/x⁶

What is 1/x²

400

6x^-6

What is 6/x⁶

500

x^-3y⁴/x²y⁷

What is 1/x⁵y³

Mixed Bag

100

x⁰

What is 1

200

(x³)(x)(x^-4)

What is 1

300

(10x²)(-2x^-4)

What is -20/x²

400

(2x^-2)³

What is 8/x⁶

500

(4x^-2yz⁵)³

What is 64y³z¹⁵/x⁶