What is ((3/125)/2-(1/25)/2)*e^{-27/1000*1/3} ?

The solution to ((3/125)/2-(1/25)/2)*e^{-27/1000*1/3} is -1/(125e^{9/1000)}

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simplify ((3/125)/2-(1/25)/2)e^{-27/10001/3}

simplify

(\frac{\frac{3}{125}}{2} - \frac{\frac{1}{25}}{2}) \cdot e^{- \frac{27}{1000} \cdot \frac{1}{3}}

- \frac{1}{125 e ^{\frac{9}{1000}}}

Decimal Notation

- 0.00792 \dots

Solution steps

(\frac{\frac{3}{125}}{2} - \frac{\frac{1}{25}}{2}) e^{- \frac{27}{1000} \cdot \frac{1}{3}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1}{3} \cdot \frac{27}{1000}}} (\frac{\frac{3}{125}}{2} - \frac{\frac{1}{25}}{2})

Combine the fractions

\frac{\frac{3}{125}}{2} - \frac{\frac{1}{25}}{2} : - \frac{1}{125}

= (- \frac{1}{125}) \frac{1}{e ^{\frac{1}{3} \cdot \frac{27}{1000}}}

Remove parentheses:

(- a) = - a

= - \frac{1}{125} \cdot \frac{1}{e ^{\frac{27}{1000} \cdot \frac{1}{3}}}

\frac{1}{e ^{\frac{27}{1000} \cdot \frac{1}{3}}} = \frac{1}{e ^{\frac{9}{1000}}}

= - \frac{1}{125} \cdot \frac{1}{e ^{\frac{9}{1000}}}

Multiply fractions:

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

= - \frac{1 \cdot 1}{125 e ^{\frac{9}{1000}}}

Multiply the numbers:

1 \cdot 1 = 1

= - \frac{1}{125 e ^{\frac{9}{1000}}}

3 x^{5} e^{- y}

0.05 \cdot 1 0^{- 2}

0.3 \cdot 1 0^{- 5}

(3 x^{2})^{a} (- 2 x y)^{b}

(x - a)^{2} \cdot (x + a)^{2}

What is ((3/125)/2-(1/25)/2)*e^{-27/1000*1/3} ?
The solution to ((3/125)/2-(1/25)/2)*e^{-27/1000*1/3} is -1/(125e^{9/1000)}