Answer
$125$
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 $25$ to base $5$ raised to the $2nd$ power:
$(5^2)^{1.5}$
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:
$5^{(2)(1.5)}$
Multiply to simplify the exponents:
$5^{3}$
Raise $5$ to the $3rd$ power to solve:
$125$