Answer
$\frac{1}{10^{25}}$
Work Step by Step
$\frac{(10^{-4})^6}{10^4\times10^{-3}}\longrightarrow$ to raise a power to a power multiply the exponents
$\frac{10^{-24}}{10^4\times10^{-3}}\longrightarrow$ to multiply powers of 10, add the exponents
$=\frac{10^{-24}}{10^{4+(-3)}}$
$=\frac{10^{-24}}{10^1}\longrightarrow$ to divide powers of 10, subtract the exponents
$=10^{-24-1}$
$=10^{-25}$
$=\frac{1}{10^{25}}$
