What is (1/44000+1/6000)^{-1}*10*10^{-6}*555.556 ?

The solution to (1/44000+1/6000)^{-1}*10*10^{-6}*555.556 is 29.3333568

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simplify (1/44000+1/6000)^{-1}1010^{-6}*555.556

simplify

(\frac{1}{44000} + \frac{1}{6000})^{- 1} \cdot 10 \cdot 1 0^{- 6} \cdot 555.556

29.3333568

Solution steps

(\frac{1}{44000} + \frac{1}{6000})^{- 1} \cdot 10 \cdot 1 0^{- 6} \cdot 555.556

Multiply the numbers:

10 \cdot 555.556 = 5555.56

= (\frac{1}{44000} + \frac{1}{6000})^{- 1} \cdot 5555.56 \cdot 1 0^{- 6}

= 1 0^{- 6} \cdot 5555.56 (\frac{1}{44000} + \frac{1}{6000})^{- 1}

1 0^{- 6} = \frac{1}{1000000}

= \frac{1}{1000000} \cdot 5555.56 (\frac{1}{44000} + \frac{1}{6000})^{- 1}

Apply exponent rule:

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

(\frac{1}{44000} + \frac{1}{6000})^{- 1} = \frac{1}{\frac{1}{44000} + \frac{1}{6000}}

= \frac{1}{1000000} \cdot 5555.56 \cdot \frac{1}{\frac{1}{44000} + \frac{1}{6000}}

\frac{1}{\frac{1}{44000} + \frac{1}{6000}} = 5280

= \frac{1}{1000000} \cdot 5555.56 \cdot 5280

Multiply the numbers:

5555.56 \cdot 5280 = 29333356.8

= \frac{1}{1000000} \cdot 29333356.8

\frac{1}{1000000} \cdot 29333356.8 = \frac{29333356.8}{1000000}

= \frac{29333356.8}{1000000}

Divide the numbers:

\frac{29333356.8}{1000000} = 29.3333568

= 29.3333568

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0.43 \cdot 5.67 \cdot 1 0^{- 8} \cdot (1390.4)^{4}

e^{- \frac{x ^{2}}{2}} (e^{\frac{x ^{2}}{2}})

e^{- b z} \cdot e^{- (x - z)^{2} \frac{1}{4 a}}

What is (1/44000+1/6000)^{-1}*10*10^{-6}*555.556 ?
The solution to (1/44000+1/6000)^{-1}*10*10^{-6}*555.556 is 29.3333568