Question

(01.02 LC) Which of the following is equivalent to


`(mn)^3`
A:3mn
B:

`m^3n`
C:

`mn^3`
D:

`m^3n^3`
​

Answer 1

`(mn)^3 = m^3 n^3`

Explanation:

Given

`(mn)^3`

Required

Select an equivalent expression

To solve this question, we apply the following law of indices:

`(xy)^b = x^b * y^b`

Similarly:

`(mn)^3 = m^3 * n^3`

`(mn)^3 = m^3 n^3`

D. is correct