Properties of Exponents Quiz Practice

Name that Property

100

What property is this? 

a⁰=1

Zero Exponent Property

200

What property is this? 

4^-2 = 1/4²= 1/16

Negative Exponent 

300

What property is this? 

3¹²/3¹⁰ = 3²=9

Quotient of Powers

400

What property is this? 

(ab)^m = a^mb^m

Power of Product 

500

What property is this? 

(b^m)n= b^m*n

Power of Powers 

Definition

100

What does the product of powers tell us to do? 

Same base --> add the exponents 

200

What does the Power of Products tell us to do? 

Different base/ same exponent --> Distribute exponent to bases 

300

What does the power of quotient tell us to do? 

distribute the exponent to both sides of the division problem or fraction 

400

What does the negative exponent property tell us to do?

negative exponents become positive when they SWITCH positions in a fraction 

500

What does the quotient of powers product tell us to do? 

Same base --> subtract exponents 

Example

100

Use the product of powers to write the other half of this problem: 

b^m x bⁿ = ?

b^m+n

200

Use the zero exponent property to write the other half of this problem: 

a⁰ = ?

1

300

Use the power of a quotient to write the other half of this problem: 

(a/b)^m = ?

a^m/b^m

400

Use the negative exponent property to write the other half of this problem: 

b^-a = ?

1/b^a

500

Use the power of powers to write the other half of this problem: 

(a^m)ⁿ = ?

a^m*n

Solve

100

(-2)⁰ = ?

1

200

(-2)⁵

-32

300

2³x2⁴

2⁷ = 128

400

(3a²)⁴

3⁴a⁸ =  81a⁸

500

(2x³y²)²(3x⁴y⁵) = ?

(4x⁶y⁴)(3x⁴y⁵) = 12x¹⁰y⁹

Challenge

100

Solve: (-5)⁸/(5)^{8 = ?} 

-1

200

Solve: x¹² * 1/x³ =?

x¹²/x³ = x⁹

300

*Freebie* 

What is Ms. Harrison's favorite animal? 

Fox! 

400

Solve: 5x⁰*3x^-5

15/x⁵

500

(a⁵b⁷)^-2

1/a¹⁰b¹⁴