What is 6.67*10^{-11}*64 ?

The solution to 6.67*10^{-11}*64 is 667/156250000000

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simplify 6.6710^{-11}64

simplify

6.67 \cdot 1 0^{- 11} \cdot 64

\frac{667}{156250000000}

Decimal Notation

4.2688 E - 9

Solution steps

6.67 \cdot 1 0^{- 11} \cdot 64

Multiply the numbers:

6.67 \cdot 64 = 426.88

= 426.88 \cdot 1 0^{- 11}

= 1 0^{- 11} \cdot 426.88

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{11}} \cdot 426.88

\frac{1}{1 0 ^{11}} \cdot 426.88 = \frac{426.88}{1 0 ^{11}}

= \frac{426.88}{1 0 ^{11}}

\frac{426.88}{1 0 ^{11}} = \frac{42688}{100 \cdot 1 0 ^{11}}

= \frac{42688}{100 \cdot 1 0 ^{11}}

Factor the number:

42688 = 4 \cdot 10672

= \frac{4 \cdot 10672}{100 \cdot 1 0 ^{11}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 10672}{4 \cdot 25 \cdot 1 0 ^{11}}

Cancel the common factor:

4

= \frac{10672}{25 \cdot 1 0 ^{11}}

Factor

10672 : 2^{4} \cdot 667

= \frac{2 ^{4} \cdot 667}{25 \cdot 1 0 ^{11}}

Factor

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

= \frac{2 ^{4} \cdot 667}{25 \cdot 2 ^{11} \cdot 5 ^{11}}

\frac{2 ^{4}}{2 ^{11}} = \frac{1}{2 ^{7}}

= \frac{667}{25 \cdot 2 ^{7} \cdot 5 ^{11}}

25 \cdot 2^{7} \cdot 5^{11} = 156250000000

= \frac{667}{156250000000}

(23) (75)

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