Index Laws - Algebra

Multiplying

100

Simplify m¹³ x m⁸

m²¹

200

Simplify m⁵ x m

m⁶

300

Simplify 4m⁸ x 5m¹⁰

20m¹⁸

400

Simplify 2m⁶ x 2m⁴ x 2m⁸

8m¹⁸

500

Simplify the expression (3m²y)(2my³)

6m³y⁴

Dividing

100

Simplify e¹⁵ ÷ e⁹

e⁶

200

Simplify e⁸ ÷ e

e⁷

300

Simplify 16e⁸ ÷ 4e⁵

4e³

400

 If you divide 8e⁴ by 2e², what is the result?

4e²

500

Simplify the expression 27e⁶y³  ÷  9e²y

3e⁴y²

Power of a Power

100

Solve (a²)³

a⁶

200

What is (a)³

a³

300

If you have (2a⁴)², what is the simplified form?

4a⁸

400

Simplify the expression (3a²)³

27a⁶

500

Simplify (a³y²)⁴

a¹²y⁸

Zero Index

100

Simplify z⁰

1

200

What is 2z⁰

2

300

What is z⁰ x z⁵

z⁵

400

Simplify z⁰ + y⁰

2

500

Simplify (z³y²)⁰

1

Negative Indice

100

Simplify t^-3

1/t³

200

Simplify t^-1

1/t

300

Simplify (t²)^-1

1/t²

400

Simplify 2t^-3

2/t³

500

Simplify (t²y^-3)^-4

y¹²/t⁸