What is 60*10^{-8}*(2*10^{-2})/(78.5*10^{-4)} ?

The solution to 60*10^{-8}*(2*10^{-2})/(78.5*10^{-4)} is 1.52866E-6

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simplify 6010^{-8}(210^{-2})/(78.510^{-4)}

simplify

60 \cdot 1 0^{- 8} \cdot \frac{2 \cdot 1 0 ^{- 2}}{78.5 \cdot 1 0 ^{- 4}}

1.52866 E - 6

Solution steps

60 \cdot 1 0^{- 8} \cdot \frac{2 \cdot 1 0 ^{- 2}}{78.5 \cdot 1 0 ^{- 4}}

Apply exponent rule:

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

= 60 \cdot \frac{1}{1 0 ^{8}} \cdot \frac{1 0 ^{- 2} \cdot 2}{1 0 ^{- 4} \cdot 78.5}

\frac{2 \cdot 1 0 ^{- 2}}{78.5 \cdot 1 0 ^{- 4}} = \frac{1 0 ^{2} \cdot 2}{78.5}

= 60 \cdot \frac{1}{1 0 ^{8}} \cdot \frac{1 0 ^{2} \cdot 2}{78.5}

Multiply fractions:

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

= \frac{1 \cdot 1 0 ^{2} \cdot 2 \cdot 60}{1 0 ^{8} \cdot 78.5}

Multiply the numbers:

1 \cdot 2 \cdot 60 = 120

= \frac{1 0 ^{2} \cdot 120}{1 0 ^{8} \cdot 78.5}

Cancel

\frac{120 \cdot 1 0 ^{2}}{1 0 ^{8} \cdot 78.5} : \frac{120}{1 0 ^{6} \cdot 78.5}

= \frac{120}{1 0 ^{6} \cdot 78.5}

Factor

120 : 2^{3} \cdot 3 \cdot 5

Factor

1 0^{6} : 2^{6} \cdot 5^{6}

= \frac{2 ^{3} \cdot 3 \cdot 5}{2 ^{6} \cdot 5 ^{6} \cdot 78.5}

Cancel

\frac{2 ^{3} \cdot 3 \cdot 5}{2 ^{6} \cdot 5 ^{6} \cdot 78.5} : \frac{3}{5 ^{5} \cdot 2 ^{3} \cdot 78.5}

= \frac{3}{5 ^{5} \cdot 2 ^{3} \cdot 78.5}

5^{5} \cdot 2^{3} \cdot 78.5 = 1962500

= \frac{3}{1962500}

Convert element to a decimal form

\frac{3}{1962500} = 1.52866 E - 6

= 1.52866 E - 6

\frac{1}{2} (8.85 \cdot 1 0^{- 12}) (4230.4548 1^{2})

50 e^{- o}

- 6 e^{- x}

2500 \cdot 154.7 \cdot 1 0^{- 12}

What is 60*10^{-8}*(2*10^{-2})/(78.5*10^{-4)} ?
The solution to 60*10^{-8}*(2*10^{-2})/(78.5*10^{-4)} is 1.52866E-6