What is 160.58e^{-0.38*4.8} ?

The solution to 160.58e^{-0.38*4.8} is 25.91423…

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simplify 160.58e^{-0.38*4.8}

simplify

160.58 e^{- 0.38 \cdot 4.8}

25.91423 \dots

Solution steps

160.58 e^{- 0.38 \cdot 4.8}

Apply exponent rule:

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

= 160.58 \cdot \frac{1}{e ^{0.38 \cdot 4.8}}

Multiply the numbers:

0.38 \cdot 4.8 = 1.824

= 160.58 \cdot \frac{1}{e ^{1.824}}

Multiply fractions:

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

= \frac{1 \cdot 160.58}{e ^{1.824}}

Multiply the numbers:

1 \cdot 160.58 = 160.58

= \frac{160.58}{e ^{1.824}}

e^{1.824} = 6.19659 \dots

= \frac{160.58}{6.19659 \dots}

Divide the numbers:

\frac{160.58}{6.19659 \dots} = 25.91423 \dots

= 25.91423 \dots

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