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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