What is simplify-ln(1/4)*181*10^3*50.2*10^{-6} ?

The solution to simplify-ln(1/4)*181*10^3*50.2*10^{-6} is 12.59614…

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simplify-ln(1/4)18110^350.210^{-6}

simplify

- ln (\frac{1}{4}) \cdot 181 \cdot 1 0^{3} \cdot 50.2 \cdot 1 0^{- 6}

12.59614 \dots

Solution steps

- ln (\frac{1}{4}) \cdot 181 \cdot 1 0^{3} \cdot 50.2 \cdot 1 0^{- 6}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{3} \cdot 1 0^{- 6} = 1 0^{3 - 6}

= - ln (\frac{1}{4}) \cdot 181 \cdot 50.2 \cdot 1 0^{3 - 6}

Subtract the numbers:

3 - 6 = - 3

= - ln (\frac{1}{4}) \cdot 181 \cdot 50.2 \cdot 1 0^{- 3}

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= 181 \cdot 50.2 \cdot \frac{1}{1 0 ^{3}} ln (\frac{1}{4})

Multiply fractions:

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

= - 50.2 \cdot \frac{1 \cdot 181}{1 0 ^{3}} ln (\frac{1}{4})

\frac{1 \cdot 181}{1 0 ^{3}} = \frac{181}{1000}

= - 50.2 \cdot \frac{181}{1000} ln (\frac{1}{4})

Multiply fractions:

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

= - \frac{181 \cdot 50.2}{1000} ln (\frac{1}{4})

\frac{181 \cdot 50.2}{1000} = 9.0862

= - 9.0862 ln (\frac{1}{4})

Convert element to a decimal form

\frac{1}{4} = 0.25

= - 9.0862 ln (0.25)

Simplify

ln (0.25) : - 1.38629 \dots

= - (- 1.38629 \dots) \cdot 9.0862

Simplify

= 12.59614 \dots

\frac{- x + 4}{- x + 2}

e^{- 2 (0.89)}

e^{(- \frac{4.75 \cdot 1 0 ^{3}}{8.314 \cdot 298.15})}

What is simplify-ln(1/4)*181*10^3*50.2*10^{-6} ?
The solution to simplify-ln(1/4)*181*10^3*50.2*10^{-6} is 12.59614…