Question

Simplify the expression. 64 7/12
16
8 √2
4√2
32

Answer 1

8 sq rt of 2 is the correct answer!

Answer 2

`8\sqrt2`

Second option is correct.

Explanation:

We have been given the expression
`(64)^{(7)/(12)}`

We can write the term 64 as
`64=2^6`

Thus, we have

`(2^6)^{(7)/(12)}`

Now, use the exponent law
`(x^m)^n=x^(mn)`

`(2)^{6\cdot(7)/(12)}`

On simplifying, we get

`(2)^{(7)/(2)}`

This expression can be further simplified as

`√(2^7)\\\\=√(2^6\cdot2)\\\\=2^3√(2)\\\\=8\sqrt2`

Second option is correct.