Enter Title

Zero and Negative Exponents

100

The result of any number raised to the zero power

What is 1

200

Simplify 

4^-3

What is 1/64

300

Simplify

 1/n^-3

What is n³

400

Simplify 

4c^-3b

What is 4b/c³

500

The value for n^-3w² for n = 2 and w = 3

What is 9/8

Multiplying Powers With the Same Base

100

Identify the base and exponent in the following expression  5⁴

Base = 5

Exponent = 4

200

This repeated multiplication expression as a base and an exponent

6*6*6*6

What is 6⁴

300

Simplify 

8³ * 8⁶

What is 8⁹

400

Simplify

9² * 9^-4 * 9⁷

What is 9⁵

500

Simplify

5x⁴ * 2x⁶ * x^-2

What is 10x⁸

Power to Power

100

The operation we use when taking a power to another power

What is multiplication

200

Simplify 

(x³)³

What is x⁹

300

Simplify

(p^1/2)^2/3

What is p^1/3

400

Simplify

x²(x^-5)³

What is x^-13

500

Simplify

(7m⁹)²

What is 49m¹⁸

Division Properties of Exponents

100

The operation used when dividing powers with like bases

Subtraction

200

Simplify then solve

2⁶/2⁴

What is 4

300

Simplify

x³/x^-5

What is x⁸

400

Simplify in Scientific Notation

6.02 x 10⁴/ 3.14 x 10²

^{(Round the decimal to the nearest hundredth)}

What is 1.92 x 10²

500

Simplify

(a⁴/a⁶)³

What is 1/a⁶

Rational Exponents and Radicals

100

Solve

square root of 36

What is 6

200

cube root of 64

What is 4

300

Convert into radical form

x^2/5

What is the 5th root of x²

400

Convert into exponential form

cube root of x⁴

What is x^4/3

500

Convert into radical form

5y^2/3

cube root of 5y²