What is 19.312*0.4^2*e^{-0.05*2} ?

The solution to 19.312*0.4^2*e^{-0.05*2} is 2.79587…

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simplify 19.3120.4^2e^{-0.05*2}

simplify

19.312 \cdot 0. 4^{2} \cdot e^{- 0.05 \cdot 2}

2.79587 \dots

Solution steps

19.312 \cdot 0. 4^{2} e^{- 0.05 \cdot 2}

Apply exponent rule:

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

= 0. 4^{2} \cdot 19.312 \cdot \frac{1}{e ^{2 \cdot 0.05}}

Multiply the numbers:

0.05 \cdot 2 = 0.1

= 0. 4^{2} \cdot 19.312 \cdot \frac{1}{e ^{0.1}}

Multiply fractions:

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

= 19.312 \cdot \frac{1 \cdot 0. 4 ^{2}}{e ^{0.1}}

\frac{1 \cdot 0. 4 ^{2}}{e ^{0.1}} = 0.14477 \dots

= 0.14477 \dots \cdot 19.312

Multiply the numbers:

19.312 \cdot 0.14477 \dots = 2.79587 \dots

= 2.79587 \dots

\frac{16 - x ^{2}}{x ^{2} + 1}

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What is 19.312*0.4^2*e^{-0.05*2} ?
The solution to 19.312*0.4^2*e^{-0.05*2} is 2.79587…