What is 0.0005e^{-4/10} ?

The solution to 0.0005e^{-4/10} is 0.00033…

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simplify 0.0005e^{-4/10}

simplify

0.0005 e^{- \frac{4}{10}}

0.00033 \dots

Solution steps

0.0005 e^{- \frac{4}{10}}

Apply exponent rule:

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

= 0.0005 \cdot \frac{1}{e ^{\frac{4}{10}}}

\frac{1}{e ^{\frac{4}{10}}} = \frac{1}{e ^{\frac{2}{5}}}

= 0.0005 \cdot \frac{1}{e ^{\frac{2}{5}}}

Multiply fractions:

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

= \frac{1 \cdot 0.0005}{e ^{\frac{2}{5}}}

Multiply the numbers:

1 \cdot 0.0005 = 0.0005

= \frac{0.0005}{e ^{\frac{2}{5}}}

Convert element to a decimal form

e^{\frac{2}{5}} = 1.49182 \dots

= \frac{0.0005}{1.49182 \dots}

Divide the numbers:

\frac{0.0005}{1.49182 \dots} = 0.00033 \dots

= 0.00033 \dots

13.12 \cdot 1 0^{- 5}

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200000 e^{- 0.04 (6)}

(7 m^{3}) (6 m p^{2})

- 7 e^{3} \cdot 5 e