Laws of Exponents

Multiplying

100

8x^-5∙x¹¹

What is x⁶

200

x ∙x²

What is x³

300

(ab)(ab)

What is a²b²

400

(2a²)(-3a)

What is -6a³

500

(-3b²)(-b)

What is 3b³

Dividing

100

x/x

What is 1

200

x⁴/x²

What is x²

300

x³y/xy²

What is x²/y

400

6ab/3ab²

What is 2/b

500

15a³b⁴/12a³b³

What is 5b/4

Exponent of Exponent

100

(a²⁾³

What is a⁶

200

(ab³⁾⁵

What is a⁵b¹⁵

300

(11a²b⁴c)³

What is 121a⁶b¹²c³

400

(2a³b⁴⁾⁴

What is 16a¹²b¹⁶

500

(7ab²c⁴)²

What is 49a²b⁴c⁸

Negative Exponents

100

z^-9

What is 1/z⁹

200

-3x^-5yz²/8x¹¹y^-6z

What is -3y⁷z/x¹⁶

300

a⁴b^-8cx^-2y^-1

What is a⁴c/b⁸x²y

400

-5x^-8y³z^-7

What is -5y³/x⁸z⁷

500

-16x^-2y^-8z³/64

What is -z³/4x²y⁸

Mixed Bag

100

(-2a)³

What is -8a³

200

x²/x⁴

What is 1/x²

300

(3x³y)(-5x^-8)(8y)

What is -120y²/x⁵

400

16x^-3y⁷z/34x⁰y^-11z

What is 8y¹⁸/17x³

500

(21ab³)/(48ab³)

What is 7/16