Indices Review

Laws of Indices

100

What is another name for index?

 power or exponent

200

What is the rule for bases raised to the power of 1?

It equals the same number

300

What is the rule for the zero index?

Anything raised to the power of 0 is equal to1

400

What is the rule for multiplying  indices with same base?

When multiplying, add the powers. 

500

What is the rule for dividing indices with the same base?

When dividing, subtract the powers

Dividing Indices

100

Simplify 3⁵ ÷ 3⁵

1

200

Simplify

2¹² ÷ 2⁶ 

2⁶

300

Simplify 3⁹÷3²

3⁷

400

Simplify x¹⁵ ÷ x¹¹

x⁴

500

Simplify

               6³ x 6³ ÷ 6²

6⁴

Evaluating Indices

100

Evaluate 9¹ 

9

200

Evaluate  4³ 

   

64

300

Evaluate 2³ x 2⁰

2³ = 8

400

Evaluate 4² x 8⁰

4² = 16

500

Evaluate 3² x 3² - 100⁰

80

Multiplying Indices

100

Simplify 5⁷ x 5³

5¹⁰ 

200

Simplify 8⁶ X 8⁴

8¹⁰

300

Simplify 5²⁷ x 5¹⁰

5³⁷

400

Simplify 5⁵ x 5⁴ x 5²

5¹¹

500

Simplify 10¹⁰ x 10 x 10⁴

10¹⁵

Harder

100

Simplify a² x a¹⁰

a¹²

200

Simplify 3y⁴ x 4y⁵

12y⁹

300

Simplify 24g¹⁴ ÷ 6g⁹

4g⁵

400

3⁰+4p⁰

5

500

(d³)⁷

d²¹