What is 680e^{-0.0892(5)}*(-0.0892) ?

The solution to 680e^{-0.0892(5)}*(-0.0892) is -38.83098…

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simplify 680e^{-0.0892(5)}*(-0.0892)

simplify

680 e^{- 0.0892 (5)} \cdot (- 0.0892)

- 38.83098 \dots

Solution steps

680 e^{- 0.0892 (5)} (- 0.0892)

Apply exponent rule:

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

= 680 (- 0.0892) \frac{1}{e ^{5 \cdot 0.0892}}

Remove parentheses:

(- a) = - a

= - 680 \cdot \frac{1}{e ^{0.0892 \cdot 5}} \cdot 0.0892

Multiply the numbers:

0.0892 \cdot 5 = 0.446

= - 680 \cdot 0.0892 \cdot \frac{1}{e ^{0.446}}

Multiply fractions:

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

= - 0.0892 \cdot \frac{1 \cdot 680}{e ^{0.446}}

\frac{1 \cdot 680}{e ^{0.446}} = 435.32496 \dots

= - 0.0892 \cdot 435.32496 \dots

Multiply the numbers:

0.0892 \cdot 435.32496 \dots = 38.83098 \dots

= - 38.83098 \dots

4 + 7 \cdot 4 - 7

^{'} 1 0^{- 3} 1 0^{- 5}

(f \circ f^{- 1}) (10)

4 - x \cdot x^{2} - 9

What is 680e^{-0.0892(5)}*(-0.0892) ?
The solution to 680e^{-0.0892(5)}*(-0.0892) is -38.83098…