What is 10e^{-0.1(8)} ?

The solution to 10e^{-0.1(8)} is 4.49328…

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simplify 10e^{-0.1(8)}

simplify

10 e^{- 0.1 (8)}

4.49328 \dots

Solution steps

10 e^{- 0.1 (8)}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{8 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 8 = 0.8

= 10 \cdot \frac{1}{e ^{0.8}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{0.8}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{0.8}}

e^{0.8} = 2.22554 \dots

= \frac{10}{2.22554 \dots}

Divide the numbers:

\frac{10}{2.22554 \dots} = 4.49328 \dots

= 4.49328 \dots

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