Answer
$16$
Work Step by Step
In this problem, we can break big numbers down to be able to work with them with more ease. Let us break down the number $64$ to base $4$ raised to the $3rd$ power:
$(4^3)^{2/3}$
Raising a power to a power means we can multiply the two exponents together, keeping the same base. Let's multiply the exponents together first:
$4^{(3)(2/3)}$
Multiply to simplify the exponents:
$4^{6/3}$
Reduce the fraction in the exponent by dividing both numerator and denominator by $3$, the greatest common factor:
$4^{2}$
Raise $4$ to the $2nd$ power to solve:
$16$
