# How to simplify (1.5times10^-3) divide (1.6times10^-6) in scientific notation?

Jan 8, 2016

$9.375 \times {10}^{2}$

#### Explanation:

To solve this easily, first solve ${10}^{-} \frac{3}{10} ^ - 6$. This is equal to ${10}^{- 3 + 6} = {10}^{3}$. Now keep this aside.

Now solve $\frac{1.5}{1.6} = \frac{15}{16} = \frac{15 \times 25}{16 \times 25} = \frac{375}{400} = 0.9375$

Now Answer is $0.9375 \times {10}^{3} = \left(9.375 \times {10}^{-} 1\right) \times {10}^{3}$

Hence Ans. is $9.375 \times {10}^{2}$

Properties used:

${x}^{a} / {x}^{b} = {x}^{a - b}$

${x}^{a} \times {x}^{b} = {x}^{a + b}$