Laws of Indices
Positive Indices
Zero Index
Negative Indices
Exponential Equations
100

What is the rule for multiplying positive indices?

When multiplying, add the exponents. 

100

Simplify 4⁵ x 3⁴ x 4²

4⁷ x 3⁴

100

 Solve 2³ x 2⁰

8

100

Solve 6³ x 6-³

1

100

2^x =4

x=2

200

What is the rule for dividing positive indices?

When dividing, subtract the exponents

200

Simplify 2⁴ x 5⁷ x 5³ x 6² x 6⁸

2⁴ x 5¹⁰ x 6¹⁰

200

Solve 4² x 8⁰

16

200

Solve 4 x 2-³

1/2

200
2^x=16
x=4
300

What is the rule for the zero index?

Anything raised to a 0 is a 1

300

Simplify 3⁹÷3²

3⁷

300

What is 9in index form?

9 x 9 x 9 x 9

300

Solve 527÷510

517

300

73 =

343

400

What is the rule for multiplying indices with different bases? 

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

400

Solve 3x⁷y⁵ ÷ 3x10y3

3x-3y2

400

Solve

             4x 410

   

410

400

Solve 8-⁶÷8-⁴

⅟8² or ⅟64

400

4 raised to which number gives us 48

3

500

Are indices considered exponents?

Yes. Ha ha you thought this was a hard one And someone got by with common sense and now they have 500 points Life sucks huh?

500

Simplify

               6³ x 6³ x 8⁵ x 8⁶

             _______________

                      8⁶ x 6²

 6⁴ x 8⁵

500

Solve 4³ x 4-³

4= 1

500

Solve 10101 x 10-¹

10100

500

6^z=36

Z=2