What is 10.8e^{-0.12(5)} ?

The solution to 10.8e^{-0.12(5)} is 5.92716…

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simplify 10.8e^{-0.12(5)}

simplify

10.8 e^{- 0.12 (5)}

5.92716 \dots

Solution steps

10.8 e^{- 0.12 (5)}

Apply exponent rule:

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

= 10.8 \cdot \frac{1}{e ^{5 \cdot 0.12}}

Multiply the numbers:

0.12 \cdot 5 = 0.6

= 10.8 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 10.8}{e ^{0.6}}

Multiply the numbers:

1 \cdot 10.8 = 10.8

= \frac{10.8}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{10.8}{1.82211 \dots}

Divide the numbers:

\frac{10.8}{1.82211 \dots} = 5.92716 \dots

= 5.92716 \dots

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