What is (0.25)/(sqrt(pi))(2e^{-(0.25)^2}) ?

The solution to (0.25)/(sqrt(pi))(2e^{-(0.25)^2}) is 0.26500…

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simplify (0.25)/(sqrt(pi))(2e^{-(0.25)^2})

simplify

\frac{0.25}{π} (2 e^{- (0.25)^{2}})

0.26500 \dots

Solution steps

\frac{0.25}{π} (2 e^{- (0.25)^{2}})

Apply exponent rule:

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

= 2 \cdot \frac{0.25}{π} \cdot \frac{1}{e ^{0.2 5^{2}}}

Multiply fractions:

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

= \frac{0.25 \cdot 1 \cdot 2}{π e ^{0.2 5^{2}}}

Multiply the numbers:

0.25 \cdot 1 \cdot 2 = 0.5

= \frac{0.5}{π e ^{0.2 5^{2}}}

0.2 5^{2} = 0.0625

= \frac{0.5}{e ^{0.0625} π}

Convert element to a decimal form

π = 1.77245 \dots

= \frac{0.5}{1.77245 \dots e ^{0.0625}}

e^{0.0625} = 1.06449 \dots

= \frac{0.5}{1.77245 \dots \cdot 1.06449 \dots}

Multiply the numbers:

1.77245 \dots \cdot 1.06449 \dots = 1.88676 \dots

= \frac{0.5}{1.88676 \dots}

Divide the numbers:

\frac{0.5}{1.88676 \dots} = 0.26500 \dots

= 0.26500 \dots

7 \cdot (14.8 \cdot 1 0^{- 3})

e^{x} \cdot 3 e^{- x}

[b e g ina rr a ycc c^{1}] 11200130001 e n d a rr a y

(6 g) (6 c m^{2})

What is (0.25)/(sqrt(pi))(2e^{-(0.25)^2}) ?
The solution to (0.25)/(sqrt(pi))(2e^{-(0.25)^2}) is 0.26500…