What is 30(1/4)e^{-4(1/4)} ?

The solution to 30(1/4)e^{-4(1/4)} is (15)/(2e)

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simplify 30(1/4)e^{-4(1/4)}

simplify

30 (\frac{1}{4}) e^{- 4 (\frac{1}{4})}

\frac{15}{2 e}

Decimal Notation

2.75909 \dots

Solution steps

30 (\frac{1}{4}) e^{- 4 (\frac{1}{4})}

Apply exponent rule:

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

= 30 \cdot \frac{1}{4} \cdot \frac{1}{e ^{4 \cdot \frac{1}{4}}}

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

= 30 \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 30}{4 e}

Multiply the numbers:

1 \cdot 1 \cdot 30 = 30

= \frac{30}{4 e}

Cancel the common factor:

2

= \frac{15}{2 e}

- 6 e^{- 1}

9.87 \cdot 1 0^{- 3}

\frac{21.5}{15.8} (e^{- \frac{10.5}{3.081}})

4.1235 \cdot 1 0^{- 15} \frac{3 \cdot 1 0 ^{8}}{544}

- 6 e^{- 2}