What is (1.67*10^{-27})*0.016 ?

The solution to (1.67*10^{-27})*0.016 is (167)/(6250*10^{27)}

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simplify (1.6710^{-27})0.016

simplify

(1.67 \cdot 1 0^{- 27}) \cdot 0.016

\frac{167}{6250 \cdot 1 0 ^{27}}

Solution steps

(1.67 \cdot 1 0^{- 27}) \cdot 0.016

Apply exponent rule:

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

1 0^{- 27} = \frac{1}{1 0 ^{27}}

= 1.67 \cdot \frac{1}{1 0 ^{27}} \cdot 0.016

1.67 \cdot \frac{1}{1 0 ^{27}} = \frac{167}{100 \cdot 1 0 ^{27}}

= \frac{167}{100 \cdot 1 0 ^{27}} \cdot 0.016

\frac{167}{100 \cdot 1 0 ^{27}} \cdot 0.016 = \frac{2.672}{1 0 ^{27} \cdot 100}

= \frac{2.672}{1 0 ^{27} \cdot 100}

\frac{2.672}{1 0 ^{27} \cdot 100} = \frac{2672}{100000 \cdot 1 0 ^{27}}

= \frac{2672}{100000 \cdot 1 0 ^{27}}

Factor the number:

2672 = 16 \cdot 167

= \frac{16 \cdot 167}{100000 \cdot 1 0 ^{27}}

Factor the number:

100000 = 16 \cdot 6250

= \frac{16 \cdot 167}{16 \cdot 6250 \cdot 1 0 ^{27}}

Cancel the common factor:

16

= \frac{167}{6250 \cdot 1 0 ^{27}}

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What is (1.67*10^{-27})*0.016 ?
The solution to (1.67*10^{-27})*0.016 is (167)/(6250*10^{27)}