# How do you calculate  (4.7times10^-3) div (9.4times10^3)?

Jul 15, 2016

$5.0 \times {10}^{-} 7$

#### Explanation:

$\left(4.7 \times {10}^{-} 3\right) \div \left(9.4 \times {10}^{3}\right)$ may be written as:

$\frac{4.7}{9.4} \times {10}^{- 3} \times {10}^{-} 3$

Remember that: ${a}^{n} \cdot {a}^{m} = {a}^{n + m}$

Hence our example $= \frac{4.7}{9.4} \times {10}^{- 3 - 3} = 0.5 \times {10}^{-} 6$

This can be exprexed as; $5.0 \times {10}^{-} 1 \times {10}^{-} 6$

Therefore our result is: $5.0 \times {10}^{-} 7$