Exponential Functions

Power Rule

100

(x²)⁴

x⁸

200

(ab²)³

a³b⁶

300

(2d)⁴

2⁴d⁴ or 16d⁴

400

(4xy²)³

4³x³y⁶ or 64x³y⁶

500

(10a²)² / 5a

20a³

Solving

100

3² = 3^x

x = 2

200

y^x+3 = y⁴

x = 1

300

z¹⁰ = z^2x

x = 5

400

3⁴ = 9^x

x = 2

500

4^x+7 = 16^4x

x = 1

Exponent Rules

100

The power of a variable when no exponent is written "x"

1

200

6⁰

1

300

Rewrite with only positive exponents: x^-3

1/x³

400

When multiplying two of the same base do you add or subtract exponents?

add

500

When dividing two variables with the same base do you add or subtract exponents?

subtract

Mr. Shanes Trivia

100

Mr. Shanes' age

23

200

Mr. Shanes' brithday

March 2

300

Mr. Shanes' College

Worcester Polytechnic Institute (WPI)

400

Mr. Shanes' major

Computer Science

500

Mr. Shanes' home state

New Jersey

Mr. Brown Trivia

100

Mr. Brown's age

40

200

Mr. Brown's birthday

April 9

300

Mr. Brown's daughters' names

Ruth and Roxanne

400

Mr. Brown's job before teaching

Recording Engineer

500

Mr. Brown's favorite color

Brown