What is ((50)/(1.092*10^{-2)})*10^{-6} ?

The solution to ((50)/(1.092*10^{-2)})*10^{-6} is 0.00457…

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simplify ((50)/(1.09210^{-2)})10^{-6}

simplify

(\frac{50}{1.092 \cdot 1 0 ^{- 2}}) \cdot 1 0^{- 6}

0.00457 \dots

Solution steps

(\frac{50}{1.092 \cdot 1 0 ^{- 2}}) \cdot 1 0^{- 6}

Apply exponent rule:

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

= \frac{1}{1 0 ^{6}} \cdot \frac{50}{1 0 ^{- 2} \cdot 1.092}

\frac{50}{1.092 \cdot 1 0 ^{- 2}} = \frac{5 ^{4} \cdot 2 ^{3}}{1.092}

= \frac{1}{1 0 ^{6}} \cdot \frac{5 ^{4} \cdot 2 ^{3}}{1.092}

Multiply fractions:

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

= \frac{5 ^{4} \cdot 2 ^{3} \cdot 1}{1.092 \cdot 1 0 ^{6}}

Multiply:

2^{3} \cdot 1 = 2^{3}

= \frac{5 ^{4} \cdot 2 ^{3}}{1 0 ^{6} \cdot 1.092}

Factor

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

= \frac{5 ^{4} \cdot 2 ^{3}}{2 ^{6} \cdot 5 ^{6} \cdot 1.092}

Cancel

\frac{5 ^{4} \cdot 2 ^{3}}{1.092 \cdot 2 ^{6} \cdot 5 ^{6}} : \frac{1}{2 ^{3} \cdot 5 ^{2} \cdot 1.092}

= \frac{1}{2 ^{3} \cdot 5 ^{2} \cdot 1.092}

2^{3} \cdot 5^{2} \cdot 1.092 = 218.4

= \frac{1}{218.4}

Divide the numbers:

\frac{1}{218.4} = 0.00457 \dots

= 0.00457 \dots

\frac{sec ^{2} ( x ) - 1}{1 - cos ^{2} ( x )}

50000 (1.0152)^{- 4}

5000 \cdot \frac{e ^{0.22}}{e ^{0.08}}

(\frac{1}{2}) (π) (500) (0.56 \cdot 1 0^{- 6})

15 e^{- 0.3 \cdot 0}

What is ((50)/(1.092*10^{-2)})*10^{-6} ?
The solution to ((50)/(1.092*10^{-2)})*10^{-6} is 0.00457…