What is 700e^{-0.24*15} ?

The solution to 700e^{-0.24*15} is 19.12660…

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simplify 700e^{-0.24*15}

simplify

700 e^{- 0.24 \cdot 15}

19.12660 \dots

Solution steps

700 e^{- 0.24 \cdot 15}

Apply exponent rule:

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

= 700 \cdot \frac{1}{e ^{15 \cdot 0.24}}

Multiply the numbers:

0.24 \cdot 15 = 3.6

= 700 \cdot \frac{1}{e ^{3.6}}

Multiply fractions:

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

= \frac{1 \cdot 700}{e ^{3.6}}

Multiply the numbers:

1 \cdot 700 = 700

= \frac{700}{e ^{3.6}}

e^{3.6} = 36.59823 \dots

= \frac{700}{36.59823 \dots}

Divide the numbers:

\frac{700}{36.59823 \dots} = 19.12660 \dots

= 19.12660 \dots

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