Exponent Rules!

Multiplying Like Bases

100

(2³)(2⁵)

What is 2⁸?

200

3⁴·3^-6

What is 1/9 ? 

300

x⁴·x⁷

What is x¹¹

400

x^-7x8

What is x ?

500

x²y³·x³y^-5

What is x⁵/y² ?

Dividing Like Bases

100

4⁵/4²

What is 4³?

200

x²/x⁷

What is 1/x⁵ ?

300

(3x⁵)/(6x³)

What is x²/2 ?

400

(m⁵p²)/(m⁴p)

What is mp? 

500

2x⁴y^-4/(8x⁷y³)

What is 1/(4x³y⁷) ? 

Negative Exponents

100

b^-6

What is 1/b⁶ ?

200

x^-10

1/x¹⁰

300

(a⁴b^-3)/(a²b⁴)

What is a²/b⁷ ?

400

x^-4y⁷·x²y^-10

What is y¹⁷/x⁶ ? 

500

[(-7a²b³c⁰)/(3a³b⁴c³)]^-4

What is 81a⁴b⁴c¹²/2401?

Zero Exponents

100

w⁰

What is 1?

200

239⁰

What is 1? 

300

x³y⁰·x^-3

What is 1? 

400

(c⁴w^-3)/(c²w⁰)

c²/w³

500

(h³j^-5k⁴)/(h^-5j³k⁴)

What is h⁸/j⁸ ?

Powers of Products/Quotients

100

(2w³)²

What is 4w⁶ ?

200

(x²y⁴)^-3

What is 1/(x⁶y¹²) ?

300

(x/3)³

What is x³/27

400

(3⁴a⁴b⁴c⁴)²

What is 9a⁸b⁸c⁸ ? 

500

(3m²n⁷/m)⁵

What is 243m⁵n³⁵ ?