Properties of Exponents Review

Product & Quotient Property

100

2m² * 2m³

4m5

200

3n⁴/3n²

n²

300

4v * 2v⁴

8v⁵

400

2y⁴/16x²

y⁴/8x²

500

2x⁴ * 6x⁵/3x⁴

4x⁵

Power of a ....

100

(x⁵)⁶

x³⁰

200

(3x)²

9x²

300

(x/y⁴)²

x²/y⁸

400

(4xy)²

16x²y²

500

(x²/3x³)³

1/27x³

Zero Exponent

100

15⁰

1

200

4x⁰

4

300

(-3x⁰)²

9

400

(x²/y⁰)²

x⁴

500

(m⁴/4m²)⁰

1

Negative Exponent

100

1/x^-2

x²

200

3m³/m^-3

3m⁶

300

4x^-9

4/x⁹

400

m⁴/4m^-4

m⁸/4

500

x^-4/3y^-2

y²/3x⁴

Challenge Problems

100

2y*3x²

6x²y

200

2*(x²)⁰

2

300

(2x²)^-2

1/4x⁴

400

(2x⁴y^-3)^-2

y⁶/4x⁸

500

4m⁴n^-3p³ / 3m²n²p⁴

4m²/3n⁵p