What is 170*e^{-0.075*56} ?

The solution to 170*e^{-0.075*56} is 2.54924…

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simplify 170e^{-0.07556}

simplify

170 \cdot e^{- 0.075 \cdot 56}

2.54924 \dots

Solution steps

170 e^{- 0.075 \cdot 56}

Apply exponent rule:

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

= 170 \cdot \frac{1}{e ^{56 \cdot 0.075}}

Multiply the numbers:

0.075 \cdot 56 = 4.2

= 170 \cdot \frac{1}{e ^{4.2}}

Multiply fractions:

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

= \frac{1 \cdot 170}{e ^{4.2}}

Multiply the numbers:

1 \cdot 170 = 170

= \frac{170}{e ^{4.2}}

e^{4.2} = 66.68633 \dots

= \frac{170}{66.68633 \dots}

Divide the numbers:

\frac{170}{66.68633 \dots} = 2.54924 \dots

= 2.54924 \dots

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