Question

Sabendo que x=1/2 e y=-4 responda

Answer 1

Resposta:

Explicação passo a passo:

$\frac{x^{-y}-(-y)^{-x}}{x+y}$

simplificando a espressão ela ira ficar:

$\frac{1-x^y(-y)^{-x}}{x^{y+1}+x^yy}$

agora substitua os valores:

$\frac{1-(\frac{1}{2} )^{-4}4^{-\frac{1}{2} }}{(\frac{1}{2})^{-3}+(\frac{1}{2})^{-4} (-4) }=\\ \\\frac{1-2^4.2^{-1}}{2^3-2^4.2^2} = \\ \\\frac{1-2^3}{8-2^6} =\\\\\frac{1-8}{8-64} = \frac{-7}{-56}= \frac{1}{8}$

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{x = 1/2}$

$\mathsf{y = -4}$

$\mathsf{\dfrac{x^{-y} - (-y)^{-x}}{x + y}}$

$\mathsf{\dfrac{(1/2)^{4} - (4)^{-1/2}}{1/2 - 4}}$

$\mathsf{\dfrac{(1/16) - (1/2)}{-7/2}}$

$\mathsf{\dfrac{-7/16}{-7/2}}$

$\boxed{\boxed{\mathsf{\dfrac{x^{-y} - (-y)^{-x}}{x + y} = \dfrac{1}{8}}}}$