What is (816)/(0.873)*10^{-3} ?

The solution to (816)/(0.873)*10^{-3} is 0.93470…

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simplify (816)/(0.873)*10^{-3}

simplify

\frac{816}{0.873} \cdot 1 0^{- 3}

0.93470 \dots

Solution steps

\frac{816}{0.873} \cdot 1 0^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{1 0 ^{3}} \cdot \frac{816}{0.873}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{816 \cdot 1}{0.873 \cdot 1 0 ^{3}}

Multiply the numbers:

816 \cdot 1 = 816

= \frac{816}{1 0 ^{3} \cdot 0.873}

Factor

816 : 2^{4} \cdot 3 \cdot 17

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

= \frac{2 ^{4} \cdot 3 \cdot 17}{2 ^{3} \cdot 5 ^{3} \cdot 0.873}

Cancel

\frac{2 ^{4} \cdot 3 \cdot 17}{0.873 \cdot 2 ^{3} \cdot 5 ^{3}} : \frac{2 \cdot 3 \cdot 17}{5 ^{3} \cdot 0.873}

= \frac{2 \cdot 3 \cdot 17}{5 ^{3} \cdot 0.873}

Multiply the numbers:

2 \cdot 3 \cdot 17 = 102

= \frac{102}{5 ^{3} \cdot 0.873}

5^{3} \cdot 0.873 = 109.125

= \frac{102}{109.125}

Divide the numbers:

\frac{102}{109.125} = 0.93470 \dots

= 0.93470 \dots

2.4 x 1 0^{- 14}

910938291 e^{- 31}

e^{- 3 x} \cdot (- e^{- 3 x})

4.57 \cdot 1 0^{- 5}

4.57 \cdot 1 0^{- 9}

What is (816)/(0.873)*10^{-3} ?
The solution to (816)/(0.873)*10^{-3} is 0.93470…