# How do you multiply (5.3\times 10^ { - 5} ) ( 4\times 10^ { 2} )?

Jul 29, 2017

$\left(5.3 \times {10}^{- 5}\right) \left(4 \times {10}^{2}\right) = 2.12 \times {10}^{- 2}$

#### Explanation:

$\left(5.3 \times {10}^{- 5}\right) \left(4 \times {10}^{2}\right)$

= $5.3 \times {10}^{- 5} \times 4 \times {10}^{2}$

= $5.3 \times 4 \times {10}^{- 5} \times {10}^{2}$

= $21.2 \times {10}^{- 5 + 2}$

= $2.12 \times 10 \times {10}^{- 3}$

= $2.12 \times {10}^{1 - 3}$

= $2.12 \times {10}^{- 2}$

Note: I have converted $21.2$ to $2.12 \times 10$ as I believe answer too is desired in scientific notation.