# How to simplify (3times10^1)(10^-2) in scientific notation?

Simplify the indices of $10$ using the laws of indices,
$3 \textcolor{b l u e}{\times {10}^{1} \times {10}^{-} 2}$
$= 3 \times \textcolor{b l u e}{{10}^{1 - 2}}$
$= 3 \times {10}^{-} 1$