Exponent Rules Review

Product Rule

100

m⁴  x  m³

m⁷

200

p¹⁰  x  p⁸

p¹⁸

300

n⁸  x  n⁹

n¹⁷

400

(z²  x  z⁹ ) x z⁷

z¹⁸

500

(4x³)(2x⁴)

8x⁷

Quotient Rule

100

x⁸ / x³

x⁵

200

y¹² / y⁵

y⁷

300

z¹⁵ / z⁷

z⁸

400

p³ / p⁹

p^-6

500

6a⁹ / 2a⁴

3a⁵

Zero Exponent Rule

100

m⁰

1

200

z⁰ x z⁰

1

300

m⁰ x m⁴

m⁴

400

(s⁴ x s⁰) / s⁰

s⁴

500

3x⁰

3

Negative Exponent Rule

100

m^-1

1 / m¹

200

5^-4

1 / 5⁴

300

1 / t^-3

t³

400

1 / m^-8

m⁸

500

(s³ / s⁹)

1 / s⁶

Power of a Power Rule

100

(a^m)ⁿ

a^{m x n} 

200

(x³)²

x⁶

300

(a⁴)³

a¹²

400

(m³ x m²)³

m¹⁵

500

(2x³)²

4x⁶