What is 10*1/4 e^{(-8*1/4)} ?

The solution to 10*1/4 e^{(-8*1/4)} is 5/(2e^2)

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simplify 101/4 e^{(-81/4)}

simplify

10 \cdot \frac{1}{4} e^{(- 8 \cdot \frac{1}{4})}

\frac{5}{2 e ^{2}}

Decimal Notation

0.33833 \dots

Solution steps

10 \cdot \frac{1}{4} e^{(- 8 \cdot \frac{1}{4})}

Apply exponent rule:

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

= 10 \cdot \frac{1}{4} \cdot \frac{1}{e ^{8 \cdot \frac{1}{4}}}

\frac{1}{e ^{8 \cdot \frac{1}{4}}} = \frac{1}{e ^{2}}

= 10 \cdot \frac{1}{4} \cdot \frac{1}{e ^{2}}

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 ^{2}}

Multiply the numbers:

1 \cdot 1 \cdot 10 = 10

= \frac{10}{4 e ^{2}}

Cancel the common factor:

2

= \frac{5}{2 e ^{2}}

\frac{120}{360} x^{2} π^{2}

8 \cdot 1 0^{- 5} \cdot 0.0127

6.47 \cdot 1 0^{- 5}

(cos (45. 4^{\circ})) x^{- 1}

(π (6)^{2} (\frac{12}{3})) \frac{π}{3} (6) (0.06)^{2}