What is 15e^{-0.15(4.62)} ?

The solution to 15e^{-0.15(4.62)} is 7.50110…

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simplify 15e^{-0.15(4.62)}

simplify

15 e^{- 0.15 (4.62)}

7.50110 \dots

Solution steps

15 e^{- 0.15 (4.62)}

Apply exponent rule:

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

= 15 \cdot \frac{1}{e ^{0.15 \cdot 4.62}}

Multiply the numbers:

0.15 \cdot 4.62 = 0.693

= 15 \cdot \frac{1}{e ^{0.693}}

Multiply fractions:

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

= \frac{1 \cdot 15}{e ^{0.693}}

Multiply the numbers:

1 \cdot 15 = 15

= \frac{15}{e ^{0.693}}

e^{0.693} = 1.99970 \dots

= \frac{15}{1.99970 \dots}

Divide the numbers:

\frac{15}{1.99970 \dots} = 7.50110 \dots

= 7.50110 \dots

0.1 \cdot e^{- 0.1}

1 - x \cdot x + 3

\frac{1}{2} e^{j θ} \cdot \frac{1}{2} e^{j θ}

e^{- \frac{2 k}{x}}