Exponent Properties

Exponent Properties Involving Products

100

Simplify the following: (6²)(6²)

What is (6⁴)

200

(x²)(x²)(x²)

What is x⁶

300

(y³)(y⁵)(y⁹)

What is y¹⁷

400

(x³)(y⁹)(x⁴)(y⁴)

What is (x⁷)(y¹³)

500

(x^-5)(y⁸)(x⁷)(y^-3)

What is (x²)(y⁵)

Exponent Properties Involving Quotients

100

x⁴/x²

What is x²

200

y⁸/y³

What is y⁵

300

(x³)(x⁴)/(x²)

What is x⁵

400

(x⁵)(y⁴)/(x³)(y³)

What is x²y

500

(y⁵)(y⁷)/(x²)(y³)

What is (y⁹)/(x²)

Zero and Negative Exponent Properties

100

450⁰

What is 1?

200

x^-3

What is 1/x³

300

1/a^-4

What is a⁴

400

(x²)⁰

What is 1?

500

1/(b^-7)²

What is b¹⁴

Exponent Properties

100

a^xa^y

a^x+y

200

a^x/a^y

a^x-y

300

(a^x)^y

a^xy

400

(ab)^x

a^xb^x

500

a^-x

1/a^x

Mixed Review

100

(x²)³/x⁵

x

200

3^-3

1/27

300

x^-4x^-9

1/x¹³

400

10^-210

1/10

500

x²x^-4/x³x⁶

1/x¹¹