Exponent Properties

Definitions

100

What is the name of the rule that allows you to keep the base and multiply the exponents.

Power to a Power Rule

200

What is the name of the larger number in a power..."the big number"

Base

300

What is the name of the rule that allows you raise each factor of the product to the given exponent.

Product to a Power Rule

400

What is the name of the top number..."the small number" in a power

Exponent

500

What is the name of the rule that allows you to add the exponents and keep the common base.

Product Rule

Zero Power!

100

13⁰ = ?

1

200

517⁰ = ?

1

300

True or false: 4⁰ = 4

False

400

-10y⁰ = ?

-10

500

-(-y)⁰

-1

Quotient!

100

Simplify the expression 9¹⁰ 9⁶

9⁴

200

Simplify the expression. 11^{9 ÷ 117}

11²

300

Simplify the expression 5⁶ ___ 5⁴

5²

400

Simplify the expression. (4 5)¹²

4¹² 5¹²

500

Simplify the expression. (10 13)⁹

10⁹ 13⁹

Product!

100

Simplify the expression. 6³ times 6⁵

6⁸ or 1,679,616

200

Write your answer as a power.   256¹⁶ times 256¹⁴

256³⁰

300

Simplify the expression. (4 x 7)⁵

4⁵ times 7⁵ or 17,210,368

400

Simplify the expression. Write your answer in powers. (20 x 17)⁸

20⁸ times 17⁸

500

Simplify the expression. x⁷ times  x⁸

x¹⁵

Power to a Power

100

Simplify the expression (2⁴)² = ?

2⁸ or 256

200

 Simplify the expression.  (y⁴)¹²

y⁴⁸

300

Simplify the expression. (-8²)² = ?

(-8)⁴ or 4,096

400

Simplify the expression. (-9x)³

-729x³

500

Simplify the expression. (-3x²y⁴)⁴

81x⁸y¹⁶