What is 500(1/4)e^{-16(1/4)^2} ?

The solution to 500(1/4)e^{-16(1/4)^2} is (125)/e

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simplify 500(1/4)e^{-16(1/4)^2}

simplify

500 (\frac{1}{4}) e^{- 16 (\frac{1}{4})^{2}}

\frac{125}{e}

Solution steps

500 (\frac{1}{4}) e^{- 16 (\frac{1}{4})^{2}}

Apply exponent rule:

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

= 500 \cdot \frac{1}{4} \cdot \frac{1}{e ^{16 (\frac{1}{4})^{2}}}

\frac{1}{e ^{16 (\frac{1}{4})^{2}}} = \frac{1}{e}

= 500 \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 500}{4 e}

Multiply the numbers:

1 \cdot 1 \cdot 500 = 500

= \frac{500}{4 e}

Divide the numbers:

\frac{500}{4} = 125

= \frac{125}{e}

\frac{15 - 5}{5}

- \frac{25}{12} + 6

f = 4^{(1 - 1)}

y^{2} + 2 y - 48

6^{x} \leq 5 + 6^{1 - x}

What is 500(1/4)e^{-16(1/4)^2} ?
The solution to 500(1/4)e^{-16(1/4)^2} is (125)/e