# How do you multiply (5.8\times 10^ { - 6} ) ( 3\times 10^ { - 8} )?

Jun 22, 2017

$\left(5.8 \times {10}^{- 6}\right) \left(3 \times {10}^{- 8}\right) = 1.74 \times {10}^{- 13}$

#### Explanation:

We are multipying two numbers given in scientific notation and it is expected to give result too in scientific notation.

So $\left(5.8 \times {10}^{- 6}\right) \left(3 \times {10}^{- 8}\right)$

= $\left(5.8 \times 3\right) \times \left({10}^{- 6} \times {10}^{- 8}\right)$

= $17.4 \times {10}^{- 6 + \left(- 8\right)}$

= $\left(1.74 \times 10\right) \times {10}^{- 14}$

= $1.74 \times {10}^{1 - 14}$

= $1.74 \times {10}^{- 13}$