Exponents

Negative Exponents

100

What is this expression written with positive exponents 6^-2

1/6²

200

What is this expression written with negative exponents 1/2⁵

2^-5

300

What is this expression written with positive exponents 12^-1

1/12¹ or 1/12

400

What is this expression written with negative exponents 1/5⁷

5^-7

500

What is this expression written with positive exponents 560^-123

1/560¹²³

Multiplying Exponents

100

Simplify: 

5⁶ x 5¹⁴

5²⁰

200

Simplify:

w³² x w¹²

w⁴⁴

300

Simplify

(30⁴⁵) (30²⁰) 

30⁶⁵

400

What is the rule for multiplying exponents?

add the exponents and keep the base the same

500

Simplify:

(999⁵⁶⁷) (999⁶⁴³)

999¹²¹⁰

Dividing Exponents

100

Simplify 6⁸/6⁵

6³

200

Simplify 7²⁴/7²²

7²

300

What is the rule for dividing exponents

Subtract the exponents and keep the base the same

400

Simplify 9¹³/9⁵

9⁸

500

Simplify 1000⁵⁶⁰/1000⁴³⁰

1000¹³⁰

The Power Rule

100

What is (9⁷)³ simplified?

9²¹

200

What is (3⁸)⁹ simplified?

3⁷²

300

What is the rule for a power to a power?

Multiply the exponents and keep the base the same.

400

Simplify:

(45⁶)⁹

45⁵⁴

500

Simplify:

(7¹²)¹²

7¹⁴⁴

Simplify

100

Simplify y⁹ X y⁸

y¹⁷

200

Simplify 17¹⁹/17²

17¹⁷

300

Simplify (12⁹)¹⁰

12⁹⁰

400

Simplify (10³⁰)³

10⁹⁰

500

Simplify (8⁶)(8⁷)

8¹³