Problem
$10^{-5} \times \frac{1}{10^{2}}$
Solution
Step 1 ：Given: $10^{-5} \times \frac{1}{10^{2}}$
Step 2 ：Since both numbers have a base of 10, we can add their exponents: $(-5) + (-2) = -7$
Step 3 ：\(\boxed{10^{-7}}\) or \(\boxed{1 \times 10^{-7}}\)
