simplificar 1.35(500/1401)e^{-2.802(500/1401)}

Solución

simplificar

1.35 (\frac{500}{1401}) e^{- 2.802 (\frac{500}{1401})}

0.17724 \dots

Pasos de solución

1.35 (\frac{500}{1401}) e^{- 2.802 (\frac{500}{1401})}

Aplicar las leyes de los exponentes:

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

= 1.35 \cdot \frac{500}{1401} \cdot \frac{1}{e ^{2.802 \cdot \frac{500}{1401}}}

\frac{1}{e ^{2.802 \cdot \frac{500}{1401}}} = \frac{1}{e}

= 1.35 \cdot \frac{1}{e} \cdot \frac{500}{1401}

Multiplicar fracciones:

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

= 1.35 \cdot \frac{500 \cdot 1}{1401 e}

Multiplicar los numeros:

500 \cdot 1 = 500

= 1.35 \cdot \frac{500}{1401 e}

Multiplicar fracciones:

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

= \frac{500 \cdot 1.35}{1401 e}

Multiplicar los numeros:

500 \cdot 1.35 = 675

= \frac{675}{1401 e}

Eliminar los terminos comunes:

3

= \frac{225}{467 e}

Multiplicar los numeros:

467 \cdot 2.71828 \dots = 1269.43761 \dots

= \frac{225}{1269.43761 \dots}

Dividir:

\frac{225}{1269.43761 \dots} = 0.17724 \dots

= 0.17724 \dots

3^{- 6}

e^{- 0.5 l n (x)}

x - 4 x + 4