What is 10.8e^{-0.12(15)} ?

The solution to 10.8e^{-0.12(15)} is 1.78522…

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simplify 10.8e^{-0.12(15)}

simplify

10.8 e^{- 0.12 (15)}

1.78522 \dots

Solution steps

10.8 e^{- 0.12 (15)}

Apply exponent rule:

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

= 10.8 \cdot \frac{1}{e ^{15 \cdot 0.12}}

Multiply the numbers:

0.12 \cdot 15 = 1.8

= 10.8 \cdot \frac{1}{e ^{1.8}}

Multiply fractions:

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

= \frac{1 \cdot 10.8}{e ^{1.8}}

Multiply the numbers:

1 \cdot 10.8 = 10.8

= \frac{10.8}{e ^{1.8}}

e^{1.8} = 6.04964 \dots

= \frac{10.8}{6.04964 \dots}

Divide the numbers:

\frac{10.8}{6.04964 \dots} = 1.78522 \dots

= 1.78522 \dots

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