Index Laws

Calculate

100

7²

49

200

3² + 2³

17

300

5^-2

¹/₂₅

400

(-3)³

-27

500

(¹/₂)^-3

8

Multiplying Indices

100

4^3 xx 4^5

4⁸

200

4^7 xx 4^2

4^8

300

v^4 xx v^7

v^11

400

g^(-5) xx g^3

g^(-2)

500

5⁶ x 5¹¹ x 5²²

5³⁹

Dividing Indices

100

6^7 / 6^5

6²

200

y^7 / y

y^6

300

(3^5) / (3^8)

3^(-3)

400

(28^3) / (4^3)

7^3

Expansion Indices

100

(5^2)^4

5^8

200

(2^3)^(-4)

2^(-12)

300

(f^4)^5

f^20

400

((4^3)^5)^2

4^30

500

((6^7)^2)^2

6²⁸

Combined Operations

100

8²=2^?

?=6

200

(2^5xx2^7)/2^3

2^9

300

(4^5 xx4^3)/(4^2)

4^6

400

(5^3)^2 xx 5^2

5^8

500

(5^3)^3 xx 5^7

5^16