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Popular >

simplify 90*e^{-0.4}

Solution

simplify

90 \cdot e^{- 0.4}

Solution

60.32880 \dots

Solution steps

90 e^{- 0.4}

Apply exponent rule:

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

= 90 \cdot \frac{1}{e ^{0.4}}

Multiply fractions:

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

= \frac{1 \cdot 90}{e ^{0.4}}

Multiply the numbers:

1 \cdot 90 = 90

= \frac{90}{e ^{0.4}}

e^{0.4} = 1.49182 \dots

= \frac{90}{1.49182 \dots}

Divide the numbers:

\frac{90}{1.49182 \dots} = 60.32880 \dots

= 60.32880 \dots

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Frequently Asked Questions (FAQ)

What is 90*e^{-0.4} ?
The solution to 90*e^{-0.4} is 60.32880…