What is ((50)/(6.425*10^{-3)})*10^{-6} ?

The solution to ((50)/(6.425*10^{-3)})*10^{-6} is 0.00778…

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simplify ((50)/(6.42510^{-3)})10^{-6}

simplify

(\frac{50}{6.425 \cdot 1 0 ^{- 3}}) \cdot 1 0^{- 6}

0.00778 \dots

Solution steps

(\frac{50}{6.425 \cdot 1 0 ^{- 3}}) \cdot 1 0^{- 6}

Apply exponent rule:

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

= \frac{1}{1 0 ^{6}} \cdot \frac{50}{1 0 ^{- 3} \cdot 6.425}

\frac{50}{6.425 \cdot 1 0 ^{- 3}} = \frac{5 ^{5} \cdot 2 ^{4}}{6.425}

= \frac{1}{1 0 ^{6}} \cdot \frac{5 ^{5} \cdot 2 ^{4}}{6.425}

Multiply fractions:

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

= \frac{5 ^{5} \cdot 2 ^{4} \cdot 1}{6.425 \cdot 1 0 ^{6}}

Multiply:

2^{4} \cdot 1 = 2^{4}

= \frac{5 ^{5} \cdot 2 ^{4}}{1 0 ^{6} \cdot 6.425}

Factor

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

= \frac{5 ^{5} \cdot 2 ^{4}}{2 ^{6} \cdot 5 ^{6} \cdot 6.425}

Cancel

\frac{5 ^{5} \cdot 2 ^{4}}{6.425 \cdot 2 ^{6} \cdot 5 ^{6}} : \frac{1}{2 ^{2} \cdot 5 \cdot 6.425}

= \frac{1}{2 ^{2} \cdot 5 \cdot 6.425}

Multiply the numbers:

5 \cdot 6.425 = 32.125

= \frac{1}{2 ^{2} \cdot 32.125}

32.125 \cdot 2^{2} = 128.5

= \frac{1}{128.5}

Divide the numbers:

\frac{1}{128.5} = 0.00778 \dots

= 0.00778 \dots

(1 - 3 \cdot 0.75) \cdot e^{- 3 \cdot 0.75}

\frac{x ^{4}}{y ^{4}}

2.05 \cdot 100 0^{- 0, 18}

2 m^{4} n^{4} (m^{5} n^{3} + 2 m n^{2} + 4 m^{5})

What is ((50)/(6.425*10^{-3)})*10^{-6} ?
The solution to ((50)/(6.425*10^{-3)})*10^{-6} is 0.00778…