What is 10(1/2)e^{(-4(1/2))} ?

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

Popular >

simplify 10(1/2)e^{(-4(1/2))}

simplify

10 (\frac{1}{2}) e^{(- 4 (\frac{1}{2}))}

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

Decimal Notation

0.67667 \dots

Solution steps

10 (\frac{1}{2}) e^{(- 4 (\frac{1}{2}))}

Apply exponent rule:

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

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

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

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

Multiply the numbers:

1 \cdot 1 \cdot 10 = 10

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

Divide the numbers:

\frac{10}{2} = 5

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

P^{1} (- 4, 7) P^{2} (6, - 2)

2^{\frac{3}{2}} \cdot 3^{\frac{3}{2}}

(3 rs t^{8} u) (10 rs t u^{9})

\frac{e ^{- 3 t}}{e ^{- 4 t}}

8.69 \cdot 1 0^{6} \cdot 0.2 5^{1.75} \cdot 53. 4^{- 4.75}