What is 50\times 2^2e^{-0.5\times 2} ?

The solution to 50\times 2^2e^{-0.5\times 2} is (200)/e

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simplify 50\times 2^2e^{-0.5\times 2}

simplify

50 \cdot 2^{2} e^{- 0.5 \cdot 2}

\frac{200}{e}

Decimal Notation

73.57588 \dots

Solution steps

50 \cdot 2^{2} e^{- 0.5 \cdot 2}

Apply exponent rule:

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

= 2^{2} \cdot 50 \cdot \frac{1}{e ^{2 \cdot 0.5}}

e^{0.5 \cdot 2} = e

= 2^{2} \cdot 50 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 50 \cdot 2 ^{2}}{e}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{2 ^{2} \cdot 50}{e}

50 \cdot 2^{2} = 200

= \frac{200}{e}

ln (2 x) \cdot x^{- 3}

3^{x - 1}

e^{- 2 l n (1 - x)}

What is 50\times 2^2e^{-0.5\times 2} ?
The solution to 50\times 2^2e^{-0.5\times 2} is (200)/e