Question

Which of the following is equivalent to (ab)4?
a4b
a4b4
ab4
4ab

Answer 1

(ab)^4 means ab times itselv 4 times
multicplication is comutaive so
a^4b^4

2nd option is answer

Answer 2

`a^(4) *b^(4)`

Explanation:

Given :
`(ab)^(4)`

We need to find which of the following in the given options is equivalent to the given expression .

To solve this we will consider the rule of exponent :

`a^(n) *b^(n) = (ab)^(n)`

In this put n = 4

`a^(4) *b^(4) = (ab)^(4)`

Thus we can see that the option b is correct i.e.

`a^(4) *b^(4)`