What is 2.802*10^{10}*0.5^2*e^{-4.3*0.5} ?

The solution to 2.802*10^{10}*0.5^2*e^{-4.3*0.5} is 815971525.20334…

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simplify 2.80210^{10}0.5^2e^{-4.30.5}

simplify

2.802 \cdot 1 0^{10} \cdot 0. 5^{2} \cdot e^{- 4.3 \cdot 0.5}

815971525.20334 \dots

Solution steps

2.802 \cdot 1 0^{10} \cdot 0. 5^{2} e^{- 4.3 \cdot 0.5}

Apply exponent rule:

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

= 1 0^{10} \cdot 0. 5^{2} \cdot 2.802 \cdot \frac{1}{e ^{0.5 \cdot 4.3}}

Multiply the numbers:

4.3 \cdot 0.5 = 2.15

= 1 0^{10} \cdot 0. 5^{2} \cdot 2.802 \cdot \frac{1}{e ^{2.15}}

Multiply fractions:

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

= 2.802 \cdot \frac{1 0 ^{10} \cdot 1 \cdot 0. 5 ^{2}}{e ^{2.15}}

\frac{1 \cdot 1 0 ^{10} \cdot 0. 5 ^{2}}{e ^{2.15}} = 291210394.43374 \dots

= 2.802 \cdot 291210394.43374 \dots

Multiply the numbers:

2.802 \cdot 291210394.43374 \dots = 815971525.20334 \dots

= 815971525.20334 \dots

\frac{9 x}{e ^{3 x}} \cdot e^{- 3 x}

(e^{- \frac{θ}{10}})^{2}

- 2.18 \cdot 1 0^{- 18} (\frac{1}{4 ^{2}} - \frac{1}{2 ^{2}})

1.39 \cdot 1 0^{- 4}

\frac{1}{4} e^{- \frac{x}{4}}

What is 2.802*10^{10}*0.5^2*e^{-4.3*0.5} ?
The solution to 2.802*10^{10}*0.5^2*e^{-4.3*0.5} is 815971525.20334…