What is 160.58e^{-0.38*4.6} ?

The solution to 160.58e^{-0.38*4.6} is 27.96048…

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simplify 160.58e^{-0.38*4.6}

simplify

160.58 e^{- 0.38 \cdot 4.6}

27.96048 \dots

Solution steps

160.58 e^{- 0.38 \cdot 4.6}

Apply exponent rule:

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

= 160.58 \cdot \frac{1}{e ^{0.38 \cdot 4.6}}

Multiply the numbers:

0.38 \cdot 4.6 = 1.748

= 160.58 \cdot \frac{1}{e ^{1.748}}

Multiply fractions:

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

= \frac{1 \cdot 160.58}{e ^{1.748}}

Multiply the numbers:

1 \cdot 160.58 = 160.58

= \frac{160.58}{e ^{1.748}}

e^{1.748} = 5.74310 \dots

= \frac{160.58}{5.74310 \dots}

Divide the numbers:

\frac{160.58}{5.74310 \dots} = 27.96048 \dots

= 27.96048 \dots

e^{- 0.0000001}

x - 19 \cdot 19 - x

160.58 e^{- 0.38 \cdot 4.8}

(e^{y}) (e^{x})

6.2 \cdot 1 0^{- 30}