What is 42918*1.6*10^{-13} ?

The solution to 42918*1.6*10^{-13} is (21459)/(5^{14)*512}

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simplify 429181.610^{-13}

simplify

42918 \cdot 1.6 \cdot 1 0^{- 13}

\frac{21459}{5 ^{14} \cdot 512}

Solution steps

42918 \cdot 1.6 \cdot 1 0^{- 13}

Multiply the numbers:

42918 \cdot 1.6 = 68668.8

= 68668.8 \cdot 1 0^{- 13}

= 1 0^{- 13} \cdot 68668.8

Apply exponent rule:

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

1 0^{- 13} = \frac{1}{1 0 ^{13}}

= \frac{1}{1 0 ^{13}} \cdot 68668.8

\frac{1}{1 0 ^{13}} \cdot 68668.8 = \frac{68668.8}{1 0 ^{13}}

= \frac{68668.8}{1 0 ^{13}}

\frac{68668.8}{1 0 ^{13}} = \frac{686688}{10 \cdot 1 0 ^{13}}

= \frac{686688}{10 \cdot 1 0 ^{13}}

10 \cdot 1 0^{13} = 1 0^{14}

= \frac{686688}{1 0 ^{14}}

Factor

686688 : 2^{5} \cdot 21459

= \frac{2 ^{5} \cdot 21459}{1 0 ^{14}}

Factor

1 0^{14} : 2^{14} \cdot 5^{14}

= \frac{2 ^{5} \cdot 21459}{2 ^{14} \cdot 5 ^{14}}

\frac{2 ^{5}}{2 ^{14}} = \frac{1}{2 ^{9}}

= \frac{21459}{2 ^{9} \cdot 5 ^{14}}

2^{9} = 512

= \frac{21459}{5 ^{14} \cdot 512}

(7.16 x e^{14}) 6.626 x e^{- 34}

2.69194 \cdot 1 0^{- 6}

1.6 \cdot 1 0^{- 8} \cdot 30

(2 k^{2}) (7 k^{3})

6.89 \cdot 1 0^{- 3}

What is 42918*1.6*10^{-13} ?
The solution to 42918*1.6*10^{-13} is (21459)/(5^{14)*512}