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

1 Answer
KillerBunny
Jun 20, 2018

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

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