Answer
$\frac{1}{32k^{10}}$
Work Step by Step
The given expression is
$=(\frac{1}{2k^2})^{5}$
Use the power of a quotient property.
$=\frac{1}{(2k^2)^{5}}$
Use the power of a product property.
$=\frac{1}{(2)^{5}(k^2)^{5}}$
Use the power of a power property.
$=\frac{1}{2^{5}k^{2\cdot 5}}$
Simplify.
$=\frac{1}{32k^{10}}$.
