Question

What is the simplified expression of ³(the square root of)64⁶ ?

Answer 1

`64 ^ 2 = 4096`

Explanation:

This question becomes easy if you remember that extracting the `n`-th root is the same as raising to the `1/n`-th power.

So, `\root[3]{64^6} = (64^6)^{1/3}`

Now use the formula `(a^b)^c = a^{bc}` to get

`64^(6*1/3) = 64 ^ 2`

In case you need it, `64^2=4096`