What is 160.58e^{-0.38*3.2} ?

The solution to 160.58e^{-0.38*3.2} is 47.59807…

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simplify 160.58e^{-0.38*3.2}

simplify

160.58 e^{- 0.38 \cdot 3.2}

47.59807 \dots

Solution steps

160.58 e^{- 0.38 \cdot 3.2}

Apply exponent rule:

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

= 160.58 \cdot \frac{1}{e ^{0.38 \cdot 3.2}}

Multiply the numbers:

0.38 \cdot 3.2 = 1.216

= 160.58 \cdot \frac{1}{e ^{1.216}}

Multiply fractions:

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

= \frac{1 \cdot 160.58}{e ^{1.216}}

Multiply the numbers:

1 \cdot 160.58 = 160.58

= \frac{160.58}{e ^{1.216}}

e^{1.216} = 3.37366 \dots

= \frac{160.58}{3.37366 \dots}

Divide the numbers:

\frac{160.58}{3.37366 \dots} = 47.59807 \dots

= 47.59807 \dots

4.13 \cdot 1 0^{- 1}

- e^{x} 1 x e^{x}

(4 k + 2)^{2} (4 k + 1)^{2}

475 (5 + 9. 5^{2})^{- \frac{1}{3}}

(1 + - 3)^{2}