# How do you write (4.23 times 10^-5)/432 in scientific notation?

May 22, 2018

(4.23xx10^(-5))/432=color(blue)(9.79xx10^(-8)

#### Explanation:

Simplify and write the answer in scientific notation:

$\frac{4.23 \times {10}^{- 5}}{432}$

First convert $432$ to scientific notation by moving the decimal to the left two places and multiplying by ${10}^{2}$.

$432 = 4.32 \times {10}^{2}$

Rewrite the expression.

$\frac{4.23 \times {10}^{- 5}}{4.32 \times {10}^{2}}$

Divide the coefficients.

$\frac{4.23}{4.32} = 0.979$

$\frac{0.979 \times {10}^{- 5}}{{10}^{2}}$

Apply quotient rule: ${a}^{m} / {a}^{n} = {a}^{m - n}$

$0.979 \times {10}^{- 5 - 2}$

$0.979 \times {10}^{- 7}$

To convert the number to scientific notation, move the decimal to the right one place and decrease the exponent by $1$.

$9.79 \times {10}^{- 8}$