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Popular >

simplify 31/4e^{-4*1/4}

Solution

simplify

3 \cdot \frac{1}{4} \cdot e^{- 4 \cdot \frac{1}{4}}

Solution

\frac{3}{4 e}

+1

Decimal Notation

0.27590 \dots

Solution steps

3 \cdot \frac{1}{4} e^{- 4 \cdot \frac{1}{4}}

Apply exponent rule:

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

= 3 \cdot \frac{1}{4} \cdot \frac{1}{e ^{4 \cdot \frac{1}{4}}}

\frac{1}{e ^{4 \cdot \frac{1}{4}}} = \frac{1}{e}

= 3 \cdot \frac{1}{4} \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 3}{4 e}

Multiply the numbers:

1 \cdot 1 \cdot 3 = 3

= \frac{3}{4 e}

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Frequently Asked Questions (FAQ)

What is 3*1/4*e^{-4*1/4} ?
The solution to 3*1/4*e^{-4*1/4} is 3/(4e)