How do you write $\frac{4.23 \times 10^{- 5}}{432}$ $(4.23 times 10^-5)/432$ in scientific notation?

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Answer 1 · 2018-05-22T00:39:09

$\frac{4.23 \times 10^{- 5}}{432} = 9.79 \times 10^{- 8}$ $(4.23xx10^(-5))/432=color(blue)(9.79xx10^(-8)$

Simplify and write the answer in scientific notation:

$\frac{4.23 \times 10^{- 5}}{432}$ $(4.23xx10^(-5))/432$

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

$432 = 4.32 \times 10^{2}$ $432=4.32xx10^2$

Rewrite the expression.

$\frac{4.23 \times 10^{- 5}}{4.32 \times 10^{2}}$ $(4.23xx10^(-5))/(4.32xx10^2)$

Divide the coefficients.

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

$\frac{0.979 \times 10^{- 5}}{10^{2}}$ $(0.979xx10^(-5))/(10^2)$

Apply quotient rule: $\frac{a^{m}}{a^{n}} = a^{m - n}$ $a^m/a^n=a^(m-n)$

$0.979 \times 10^{- 5 - 2}$ $0.979xx10^(-5-2)$

$0.979 \times 10^{- 7}$ $0.979xx10^(-7)$

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

$9.79 \times 10^{- 8}$ $9.79xx10^(-8)$

How do you write (4.23 times 10^-5)/4324.23×10−5432(4.23 times 10^-5)/432 in scientific notation?