Answer
$10^{14}$
Work Step by Step
$(\frac{10^5\times10^{-2}}{10^{-4}})^2$ to multiply powers of 10 add the exponents
$=(\frac{10^{5+(-2)}}{10^{-4}})^2$
$=(\frac{10^3}{10^{-4}})^2$ to divide powers of 10, subtract the exponents
$=(10^{3-(-4)})^2$
$=(10^{3+4})^2$
$=(10^{7})^2\longrightarrow$ to raise a power to a power multiply the exponents
$=10^{14}$
