Exponential Functions

Exponent Rules

100

What is the result of 3²?

9

200

Simplify 5⁰

1

300

: Expand (2x)³

(2x)(2x)(2x) = 8x³

400

How do you divide when you have the same base in exponential expressions?

Subtract the exponents

500

Calculate 4² + 4².

32

Evaluating Exponential Expressions

100

: Evaluate 2⁴

16

200

What is the value of 10^-2

.01

300

Find the value of (3³)²

729

400

Evaluate 5³ · 5².

3125

500

Calculate 6² - 3²

27

Solving Exponential Equations

100

Solve for x: 2^x = 8.

3

200

Find the solution to 3^x-1 = 1.

1

300

Solve the equation 4^2x-1 = 16.

1.5

400

What is the solution to 16 = 2^2x

2

500

Determine the value of x in the equation 5^3x-1 = 125

4/3 OR 1.333