Laws of Exponents

Multiplying

100

x²∙x³

x⁵

200

x ∙x²

What is x³

300

(-1)³(-1)⁴

(-1)⁷

400

(2a²)(-3a)

What is -6a³

500

(-3b²)(-b)

3b³

Dividing

100

x/x

1

200

x⁴/x²

x²

300

(x³y)/(xy²)

x²/y

400

(6ab)/(3ab²)

2/b

500

(15a³b⁴)/(12a³b³)

What is 5b/4

Exponent of Exponent

100

(a²)³

a⁶

200

(ab³)⁵

What is a⁵b¹⁵

300

(2a)³

What is 8a³

400

(-2a³b⁴)⁴

What is 16a¹²b¹⁶

500

40a⁵b⁷/-8a²b⁶

What is -5a³b

True/False

100

3^{2 *} 3⁷= 3¹⁴

False, = 3⁹

200

13⁸/13¹² = 1/13⁴

True

300

(6³ * 3³)² = 18⁶

False

400

x¹⁴/ (x⁴ * x²) = x⁸

True

500

-32x⁸y⁵/ 4x⁶y  = 8x²y⁴

False, -8x²y⁴

What is x?

100

The best math teacher 

Ms. Horine

200

(2⁴)^x = 2²⁴

x = 6

300

(5^x)/(5³) = 5⁶

x = 9

400

(6^x * 6³)⁴ = 6²⁰

x = 2

500

(a¹² * a^x)/(a³ * a⁷) = a³

x = 1