Question

Which is equivalent

Answer 1

4x^4

Hope this helps

Answer 2

For this case we must find an expression equivalent to:

`(256x^(16)) ^ {\frac {1} {4}`

By definition of power properties we have to:

`(a ^ n) ^ m = a ^ {n * m}`

Then, rewriting the expression:

`(256 ^ {\frac {1} {4}} * x ^ {\frac {16} {4}}) =`

We have by definition:

`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}`

So:

`\sqrt [4] {256} * x ^ 4 =\\\sqrt [4] {4 ^ 4} * x ^ 4 =\\4x ^ 4`

ANswer:

Option B