Answer
$8.1\times10^{-5}$
Work Step by Step
We start with the given expression: $(9\times10^{-3})^2$
To raise a product to a power, we raise each factor to the power and multiply: $9^2(10^{-3})^2$
We simplify the constant power: $81(10^{-3})^2$
To raise a power to a power, we multiply the exponents: $81(10^{-3\times2})=81\times10^{-6}$
We rewrite in scientific notation: $8.1\times10^{-5}$
