What is 920e^{-0.04*0.8*60} ?

The solution to 920e^{-0.04*0.8*60} is 134.87840…

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simplify 920e^{-0.040.860}

simplify

920 e^{- 0.04 \cdot 0.8 \cdot 60}

134.87840 \dots

Solution steps

920 e^{- 0.04 \cdot 0.8 \cdot 60}

Apply exponent rule:

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

= 920 \cdot \frac{1}{e ^{60 \cdot 0.04 \cdot 0.8}}

Multiply the numbers:

0.04 \cdot 0.8 \cdot 60 = 1.92

= 920 \cdot \frac{1}{e ^{1.92}}

Multiply fractions:

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

= \frac{1 \cdot 920}{e ^{1.92}}

Multiply the numbers:

1 \cdot 920 = 920

= \frac{920}{e ^{1.92}}

e^{1.92} = 6.82095 \dots

= \frac{920}{6.82095 \dots}

Divide the numbers:

\frac{920}{6.82095 \dots} = 134.87840 \dots

= 134.87840 \dots

0.42 \cdot 1 0^{- 6}

\frac{14}{85}

e^{- 6} \cdot (\frac{6 ^{2}}{2 !})

315 x x