Rules of Exponents

Multiplying

100

6⁴ * 6³

6⁷

200

2²⁸ * 4²

4³⁰

300

2 * 2¹⁰

2¹¹

400

19⁰ * 19

19¹ 

OR 

Just 19

500

15² * 13³

We can't multiply with different bases, so the answer remains the same:

15² * 13³

Dividing

100

10^5 / 10^2

10^3

200

9^20 /9^16

9^4

300

6^3/6

6^2

400

3^6/3^0

3^6

500

5^7/2^4

We can't divide with different bases, so the answer remains the same: 

5^7/2^4

Power to Power

100

(9^3)^2

9^6

200

(4^2)^6

4^12

300

(3)^2

3^2

400

(15^4)^5

15^20

500

(3^6)^0

3^0 or 1

Zeros and Negatives

100

200^0

1

200

7^-2

1/7^2

300

(-3/4)^0

1

400

5/3^-4

3^4/5

500

5^-2 /5^0

1/5^2

Mix Review

100

When multiplying bases, we must ______ the exponents

add

200

When dividing bases, we _____ the exponents

subtract

300

When multiplying and dividing bases with exponents, the bases MUST be ________

the same

400

Simplify this expression:

5^2/5^3

5^-1  OR  1/5^1  OR  1/5