# How do you evaluate \frac { 5\times 10^ { - 3} } { 8\times 10^ { - 2} }?

Jun 14, 2017

$\frac{5 \times {10}^{- 3}}{8 \times {10}^{- 2}} = 6.25 \times {10}^{- 2}$

#### Explanation:

$\frac{5 \times {10}^{- 3}}{8 \times {10}^{- 2}}$

= $\frac{5}{8} \times {10}^{- 3} / {10}^{- 2}$

= $0.625 \times {10}^{\left(- 3 - \left(- 2\right)\right)}$

= $0.625 \times {10}^{\left(- 3 + 2\right)}$

= $0.625 \times {10}^{- 1}$

= $\frac{6.25}{10} \times {10}^{- 1}$

= $6.25 \times {10}^{- 1 - 1}$

= $6.25 \times {10}^{- 2}$