What is 10e^{-0.256(5)} ?

The solution to 10e^{-0.256(5)} is 2.78037…

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simplify 10e^{-0.256(5)}

simplify

10 e^{- 0.256 (5)}

2.78037 \dots

Solution steps

10 e^{- 0.256 (5)}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{5 \cdot 0.256}}

Multiply the numbers:

0.256 \cdot 5 = 1.28

= 10 \cdot \frac{1}{e ^{1.28}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{1.28}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{1.28}}

e^{1.28} = 3.59663 \dots

= \frac{10}{3.59663 \dots}

Divide the numbers:

\frac{10}{3.59663 \dots} = 2.78037 \dots

= 2.78037 \dots

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