INDICES

Multiplying and Dividing

100

b⁴ x b³

b⁷

200

a³b⁵ x a²b⁶

a⁵b¹¹

300

12a⁶b³ ÷ 3a²b

4a⁴b²

400

20y⁴b³ ÷ 8y³b¹⁰

(5y)/(2b⁷)

500

(4b²c⁵)/(5b³c²) ÷ (2b³c⁹)/(5b⁹c³)

2b⁵/c³

Zero/Power of Power

100

a⁰

1

200

4ab⁰ x 3a

12a²

300

(3a²)³

27a⁶

400

(8a²b³)² x (3b¹⁰c⁵d⁵)⁰

64a⁴b⁶

500

3a⁰ + (9a⁰)² + (5a)²

3 + 81 + 25a²

= 84 + 25a²

Negative Indices

100

a^-3

1/a³

200

6b^-4c⁷

6c⁷/b⁴

300

30a^-4 b^-3 / 5a^-6 b²

6a²b^-5

= 6a²/b⁵

400

3y⁴k^-5  x  6y^-5k³   x  2y

36k^-2

= 36/k²

500

15a^-3b⁵ / 3a^-2b^-3

5a^-1b⁸

= 5b⁸/a

Fractional Indices

100

(121)^1/2

11

200

(b⁶d⁴)^1/2

b³d²

300

(144x⁸)^1/2

12x⁴

400

(343j⁹k¹²)^1/3

7j³k⁴

500

(8d¹⁵e⁶)^2/3

4d¹⁰e⁴

Miscellaneous

100

(6f^-8)²

36/f¹⁶

200

(3/4)^-2

16/9 

300

(b³c⁴)/(3ab)  x   (6b^-3a⁴)/(ab^-2)

2a²bc⁴

400

(16a)^1/4 x (81a)^1/2

2a^1/4 x 9a^1/2

= 18 a^3/4

500

(2x^-1y²/3x³y) ÷  (8x²y^-3/5(xy)⁰)

5y⁶/12x⁶