Question

Which is equivalent to 64^1/4?

Answer 1

Rational exponents work like this:

`a^{(b)/(c)}=\sqrt[c]{a^b}`

So, the numerator works as a usual power, while the denominator represents the order of the root.

So, raising to the power 1/4 means to extract the fourth root of a number:

`64^{(1)/(4)}=\sqrt[4]{64}=4`