What is ((50)/(2.447*10^{-4)})*10^{-6} ?

The solution to ((50)/(2.447*10^{-4)})*10^{-6} is 0.20433…

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simplify ((50)/(2.44710^{-4)})10^{-6}

simplify

(\frac{50}{2.447 \cdot 1 0 ^{- 4}}) \cdot 1 0^{- 6}

0.20433 \dots

Solution steps

(\frac{50}{2.447 \cdot 1 0 ^{- 4}}) \cdot 1 0^{- 6}

Apply exponent rule:

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

= \frac{1}{1 0 ^{6}} \cdot \frac{50}{1 0 ^{- 4} \cdot 2.447}

\frac{50}{2.447 \cdot 1 0 ^{- 4}} = \frac{5 ^{6} \cdot 2 ^{5}}{2.447}

= \frac{1}{1 0 ^{6}} \cdot \frac{5 ^{6} \cdot 2 ^{5}}{2.447}

Multiply fractions:

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

= \frac{5 ^{6} \cdot 2 ^{5} \cdot 1}{2.447 \cdot 1 0 ^{6}}

Multiply:

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

= \frac{5 ^{6} \cdot 2 ^{5}}{1 0 ^{6} \cdot 2.447}

Factor

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

= \frac{5 ^{6} \cdot 2 ^{5}}{2 ^{6} \cdot 5 ^{6} \cdot 2.447}

Cancel

\frac{5 ^{6} \cdot 2 ^{5}}{2.447 \cdot 2 ^{6} \cdot 5 ^{6}} : \frac{1}{2 \cdot 2.447}

= \frac{1}{2 \cdot 2.447}

Multiply the numbers:

2 \cdot 2.447 = 4.894

= \frac{1}{4.894}

Divide the numbers:

\frac{1}{4.894} = 0.20433 \dots

= 0.20433 \dots

200 e^{- 0.02 x} \cdot x

1.68 \cdot 1 0^{- 8} [1 + 0.0068 (55 - 20)]

(1.7096 \cdot 1 0^{- 8}) (500)^{1.1146}

2.4 \cdot 1 0^{- 9}

\frac{46}{3}

What is ((50)/(2.447*10^{-4)})*10^{-6} ?
The solution to ((50)/(2.447*10^{-4)})*10^{-6} is 0.20433…