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Popular >

simplify 0.54e^{-2(0.39)}

Solution

simplify

0.54 e^{- 2 (0.39)}

Solution

0.24753 \dots

Solution steps

0.54 e^{- 2 (0.39)}

Apply exponent rule:

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

= 0.54 \cdot \frac{1}{e ^{2 \cdot 0.39}}

Multiply the numbers:

2 \cdot 0.39 = 0.78

= 0.54 \cdot \frac{1}{e ^{0.78}}

Multiply fractions:

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

= \frac{1 \cdot 0.54}{e ^{0.78}}

Multiply the numbers:

1 \cdot 0.54 = 0.54

= \frac{0.54}{e ^{0.78}}

e^{0.78} = 2.18147 \dots

= \frac{0.54}{2.18147 \dots}

Divide the numbers:

\frac{0.54}{2.18147 \dots} = 0.24753 \dots

= 0.24753 \dots

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Frequently Asked Questions (FAQ)

What is 0.54e^{-2(0.39)} ?
The solution to 0.54e^{-2(0.39)} is 0.24753…