What is 35e^{-0.015*17.458} ?

The solution to 35e^{-0.015*17.458} is 26.93638…

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simplify 35e^{-0.015*17.458}

simplify

35 e^{- 0.015 \cdot 17.458}

26.93638 \dots

Solution steps

35 e^{- 0.015 \cdot 17.458}

Apply exponent rule:

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

= 35 \cdot \frac{1}{e ^{0.015 \cdot 17.458}}

Multiply the numbers:

0.015 \cdot 17.458 = 0.26187

= 35 \cdot \frac{1}{e ^{0.26187}}

Multiply fractions:

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

= \frac{1 \cdot 35}{e ^{0.26187}}

Multiply the numbers:

1 \cdot 35 = 35

= \frac{35}{e ^{0.26187}}

e^{0.26187} = 1.29935 \dots

= \frac{35}{1.29935 \dots}

Divide the numbers:

\frac{35}{1.29935 \dots} = 26.93638 \dots

= 26.93638 \dots

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