What is 6.39*10^{-11}*24 ?

The solution to 6.39*10^{-11}*24 is 1917/1250000000000

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simplify 6.3910^{-11}24

simplify

6.39 \cdot 1 0^{- 11} \cdot 24

\frac{1917}{1250000000000}

Solution steps

6.39 \cdot 1 0^{- 11} \cdot 24

Multiply the numbers:

6.39 \cdot 24 = 153.36

= 153.36 \cdot 1 0^{- 11}

= 1 0^{- 11} \cdot 153.36

Apply exponent rule:

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

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= \frac{1}{1 0 ^{11}} \cdot 153.36

\frac{1}{1 0 ^{11}} \cdot 153.36 = \frac{153.36}{1 0 ^{11}}

= \frac{153.36}{1 0 ^{11}}

\frac{153.36}{1 0 ^{11}} = \frac{15336}{100 \cdot 1 0 ^{11}}

= \frac{15336}{100 \cdot 1 0 ^{11}}

Factor the number:

15336 = 4 \cdot 3834

= \frac{4 \cdot 3834}{100 \cdot 1 0 ^{11}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 3834}{4 \cdot 25 \cdot 1 0 ^{11}}

Cancel the common factor:

4

= \frac{3834}{25 \cdot 1 0 ^{11}}

Factor the number:

3834 = 2 \cdot 1917

= \frac{2 \cdot 1917}{25 \cdot 1 0 ^{11}}

Factor

1 0^{11} : 2^{11} \cdot 5^{11}

= \frac{2 \cdot 1917}{25 \cdot 2 ^{11} \cdot 5 ^{11}}

\frac{2}{2 ^{11}} = \frac{1}{2 ^{10}}

= \frac{1917}{25 \cdot 2 ^{10} \cdot 5 ^{11}}

25 \cdot 2^{10} \cdot 5^{11} = 1250000000000

= \frac{1917}{1250000000000}

- 3.5 x^{- \frac{3}{2}}

63 + 125

(y + 5)^{2} (y - 5)^{2}

200 e^{- 0.005 (140)}

e^{- 12.4}

What is 6.39*10^{-11}*24 ?
The solution to 6.39*10^{-11}*24 is 1917/1250000000000