Year 8 Indices

Laws of Indices

100

What is the rule for multiplying  indices with same base?

When multiplying, add the powers. 

200

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

When dividing, subtract the powers

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 different bases? 

When multiplying indices with different bases, calculate each exponential term individually

500

Are indices, powers and exponents the same?

Yes.

Dividing Indices

100

Simplify 3⁵ ÷ 3⁵

1

200

Simplify

2¹² ÷ 2⁶ 

2⁶

300

Simplify 3⁹÷3²

3⁷

400

Solve 3x¹⁵ ÷ 3x¹¹

1x⁴

500

Simplify

               6³ x 6³ ÷ 6²

6⁴

Power Rules

100

 Solve 2³ x 2⁰

2³ = 8

200

Solve 4² x 8⁰

4² = 16

300

What is 9⁴ in expanded form?

9 x 9 x 9 x 9

400

Solve

             4⁰ x 4¹⁰

   

4¹⁰

500

Solve 4³ x 4^-3

4⁰ = 1

Multiplying Indices

100

Simplify 4⁵ x 3⁴ x 4²

4⁷ x 3⁴

200

Simplify 5⁷ x 5³

5¹⁰ 

300

Solve 5²⁷ x 5¹⁰

5³⁷

400

Solve 8⁶ X 8⁴

8¹⁰

500

Solve 10¹⁰¹ x 10^-1

10¹⁰⁰