What is 10(1/4)e^{-4(1/4)} ?

The solution to 10(1/4)e^{-4(1/4)} is 5/(2e)

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simplify 10(1/4)e^{-4(1/4)}

simplify

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

\frac{5}{2 e}

Decimal Notation

0.91969 \dots

Solution steps

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

Apply exponent rule:

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

= 10 \cdot \frac{1}{4} \cdot \frac{1}{e ^{4 \cdot \frac{1}{4}}}

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

= 10 \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 10}{4 e}

Multiply the numbers:

1 \cdot 1 \cdot 10 = 10

= \frac{10}{4 e}

Cancel the common factor:

2

= \frac{5}{2 e}

(s^{3} r^{2} z^{5}) (s^{2} r^{2} z^{2})

e^{- l n ∣ t ∣}

\frac{x ^{2}}{( cos ( x ) + x sin ( x ) ) ^{2}}