Question

Simplify (2m^6)^3.

A. 2m^9
B. 8m^18
C. this can not be simplified further.
D. 8m^9

Answer 1

B. 8m ^ 18

Explanation:

(2m ^6)^3 is the same as ;

(2 ^1 × m ^ 6) ^ 3.....multiply the powers 1 and 6 by 3

2 ^ (1×3) × m ^ (6×3).....this equals;

2 ^ 3 × m ^ 18

8m^18

hope this helps :)

Answer 2

B. 8m^18

Answer:

Solution given:

`(2m^6)^3`

since cube is of all

distribute it

like

`2³(m^6)^3`

we have

2³=8

and

power is multiplied to its power

so

`m^(6*3)`

`m^(18)`

and

we finally get

`\bold{8m^(18)}`