Exponent rules

adding and subtracting exponents

100

Simplify

a*a*a*a*a

a⁵

200

Simplify

b7 / b³

b⁴

300

Simplify

g⁴ / g^-2

g⁶

400

Simplify and evaluate

2³*2*2

2⁵ = 16

500

Simplify and evaluate

5⁵ / 5²

5³ = 125

Vocab

100

A power is the same word for 

exponent

200

Which part is the exponent?

d³

3

300

which part is the base

j⁷

j

400

an exponent tells us .......

how many times that factor is being multiplied

500

What is a factor

a factor is a number or variable that multiplies with another number or variable

Power of powers

100

Simplify

(x²)²

x⁴

200

Simplify

(x²)^-3

x^-6

300

(x^-1)^-1

x¹

400

(x³)^-8

x^-24

500

(x⁰)⁵

x⁰

Negative exponents

100

Simplify

p^-4

1/p⁴

200

Simplify

8³ / 8⁴

8^-1 = 1/8

300

Simplify and evaluate 

6^-3

1/6³ = 1/216

400

Simplify and evaluate 

4⁶*4^-8

4^-2 = 1/16

500

What does the negative exponent do to the number or variable?

Flips it into a fraction

zero exponents

100

Any number or variable to the power of zero is equal to....

1

200

Evaluate 

6^o

1

300

Simplify

x²*x⁰

x²

400

Simplify and evaluate

(7⁰)⁶

7⁰=1

500

Simplify and evaluate

(5⁴)⁰

5⁰=1