Index Laws

Index Law 1

100

Simplify 2³ x 2⁴

 2⁷

200

Simply 9 x 9 x 9 x 9 x 9

9⁵

300

Simplify (-2)⁴ x (-2)⁶

(-2)¹⁰

400

Symplify 10f x 10f

100f²

500

Simplify 3p x 4p⁸ x p²

12p¹¹

Index Law 2

100

Simplify 7⁹ ÷  7⁵

 7⁴

200

Simplify 6¹² ÷ 6⁵

6⁷

300

Simplify 8² ÷ 8

8¹ or 8

400

Simply 

(3 x 3 x 3 x 3) ÷ ( 3 x 3 )

3²

500

Simplify 10e¹⁰⁰ ÷  5e²⁵

2e⁷⁵

Power Of Zero

100

Calculate 6⁰

1

200

Calculate 3m⁰

3

300

Calculate (7)² ÷ (7)²

(7)⁰ = 1

400

Calculate 12m⁶ ÷  m⁶

12

500

Calculate (e³ x e³) ÷  e⁶

 e⁰ = 1

Index Law 3

100

What is (19²)⁵

19¹⁰

200

What is 2(c²)⁷

2c¹⁴

300

What is (7a⁶)⁵

7⁵a³⁰

400

What is (x^y)^-z

x^-yz

500

What is (12de)²

12²d²e² 

^144d2e2

Mixed Index Law

100

What is 3¹² x 3³

3¹⁵

200

-4r² x 2r⁴

What is -8r⁶

300

What is d⁴ / d

d³

400

What is (12⁸/12²)³

12¹⁸

500

What is (g⁵ x g⁴)²

 g¹⁸