Answer
$\displaystyle \frac{1}{100} $
Work Step by Step
$$\begin{align*}
10^{4}\cdot 1-0^{-6}& =10^{4-6}& &\small\text{Product of Powers Property.} \\
& =10^{-2} & &\small\text{Simplify.} \\
&=\displaystyle \frac{1}{10^{2}} & & \small\text{Definition of negative exponent.} \\
&=\displaystyle \frac{1}{100} & &\small\text{Simplify.} \\\end{align*}$$
