What is ((50)/(9.92*10^{-3)})*10^{-6} ?

The solution to ((50)/(9.92*10^{-3)})*10^{-6} is 0.00504…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((50)/(9.9210^{-3)})10^{-6}

simplify

(\frac{50}{9.92 \cdot 1 0 ^{- 3}}) \cdot 1 0^{- 6}

0.00504 \dots

Solution steps

(\frac{50}{9.92 \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 9.92}

\frac{50}{9.92 \cdot 1 0 ^{- 3}} = \frac{5 ^{5} \cdot 2 ^{4}}{9.92}

= \frac{1}{1 0 ^{6}} \cdot \frac{5 ^{5} \cdot 2 ^{4}}{9.92}

Multiply fractions:

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

= \frac{5 ^{5} \cdot 2 ^{4} \cdot 1}{9.92 \cdot 1 0 ^{6}}

Multiply:

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

= \frac{5 ^{5} \cdot 2 ^{4}}{1 0 ^{6} \cdot 9.92}

Factor

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

= \frac{5 ^{5} \cdot 2 ^{4}}{2 ^{6} \cdot 5 ^{6} \cdot 9.92}

Cancel

\frac{5 ^{5} \cdot 2 ^{4}}{9.92 \cdot 2 ^{6} \cdot 5 ^{6}} : \frac{1}{2 ^{2} \cdot 5 \cdot 9.92}

= \frac{1}{2 ^{2} \cdot 5 \cdot 9.92}

Multiply the numbers:

5 \cdot 9.92 = 49.6

= \frac{1}{2 ^{2} \cdot 49.6}

49.6 \cdot 2^{2} = 198.4

= \frac{1}{198.4}

Divide the numbers:

\frac{1}{198.4} = 0.00504 \dots

= 0.00504 \dots

e^{x} (1 + e^{x})^{- 1}

- x e^{- 0}

(sin (x))^{2} \cdot (cos (x))^{2}

x^{2} \cdot e^{- 2 x}

(\frac{51.142}{26315.79}) \cdot 1 0^{- 6}

What is ((50)/(9.92*10^{-3)})*10^{-6} ?
The solution to ((50)/(9.92*10^{-3)})*10^{-6} is 0.00504…