What is 60e^{-0.2*0.9116} ?

The solution to 60e^{-0.2*0.9116} is 50.00007…

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simplify 60e^{-0.2*0.9116}

simplify

60 e^{- 0.2 \cdot 0.9116}

50.00007 \dots

Solution steps

60 e^{- 0.2 \cdot 0.9116}

Apply exponent rule:

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

= 60 \cdot \frac{1}{e ^{0.2 \cdot 0.9116}}

Multiply the numbers:

0.2 \cdot 0.9116 = 0.18232

= 60 \cdot \frac{1}{e ^{0.18232}}

Multiply fractions:

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

= \frac{1 \cdot 60}{e ^{0.18232}}

Multiply the numbers:

1 \cdot 60 = 60

= \frac{60}{e ^{0.18232}}

e^{0.18232} = 1.19999 \dots

= \frac{60}{1.19999 \dots}

Divide the numbers:

\frac{60}{1.19999 \dots} = 50.00007 \dots

= 50.00007 \dots

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