What is 15e^{-0.15(5)} ?

The solution to 15e^{-0.15(5)} is 7.08549…

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simplify 15e^{-0.15(5)}

simplify

15 e^{- 0.15 (5)}

7.08549 \dots

Solution steps

15 e^{- 0.15 (5)}

Apply exponent rule:

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

= 15 \cdot \frac{1}{e ^{5 \cdot 0.15}}

Multiply the numbers:

0.15 \cdot 5 = 0.75

= 15 \cdot \frac{1}{e ^{0.75}}

Multiply fractions:

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

= \frac{1 \cdot 15}{e ^{0.75}}

Multiply the numbers:

1 \cdot 15 = 15

= \frac{15}{e ^{0.75}}

e^{0.75} = 2.11700 \dots

= \frac{15}{2.11700 \dots}

Divide the numbers:

\frac{15}{2.11700 \dots} = 7.08549 \dots

= 7.08549 \dots

(6.674 \cdot 1 0^{- 11}) (5.972 \cdot 1 0^{24})

820 (3.37 \cdot 1 0^{- 6}) (9.8)

\frac{- 60}{6}

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2 x - 3 \cdot x - 1