# How do you simplify (5 times 10^5)^-2 and write the answer in scientific notation?

${\left(5 \times {10}^{5}\right)}^{-} 2 = {5}^{- 2} \times {\left({10}^{5}\right)}^{- 2} = 0.04 \times {10}^{-} 10 = 4 \times {10}^{-} 12$