What is simplify-60.656*e^{-0.0892*5} ?

The solution to simplify-60.656*e^{-0.0892*5} is -38.83098…

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simplify-60.656e^{-0.08925}

simplify

- 60.656 \cdot e^{- 0.0892 \cdot 5}

- 38.83098 \dots

Solution steps

- 60.656 e^{- 0.0892 \cdot 5}

Apply exponent rule:

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

= - 60.656 \cdot \frac{1}{e ^{5 \cdot 0.0892}}

Multiply the numbers:

0.0892 \cdot 5 = 0.446

= - 60.656 \cdot \frac{1}{e ^{0.446}}

Multiply fractions:

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

= - \frac{1 \cdot 60.656}{e ^{0.446}}

Multiply the numbers:

1 \cdot 60.656 = 60.656

= - \frac{60.656}{e ^{0.446}}

Simplify

\frac{60.656}{e ^{0.446}} : 38.83098 \dots

= - 38.83098 \dots

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What is simplify-60.656*e^{-0.0892*5} ?
The solution to simplify-60.656*e^{-0.0892*5} is -38.83098…