Question

Me ajudem com as contas por favor

Answer 1

Resposta:

Explicação passo-a-passo:

Para efetuar o calculo de valores com expoente negativo deves inverter a base para que o expoente fique positivo e então efetuar a soma:

$(\frac{5}{2})^-2 = (\frac{2}{5})^2 = (\frac{4}{25})\\\\ (\frac{3}{2})^-3 = (\frac{2}{3})^3 = (\frac{8}{27})\\\\ (\frac{4}{2})^-3 = (\frac{2}{4})^3 = (\frac{8}{64})\\\\ (\frac{10}{3})^-2 = (\frac{3}{10})^2 = (\frac{9}{100})\\\\ (\frac{8}{2})^-2 = (\frac{2}{8})^2 = (\frac{4}{64})$

2

$(\frac{2}{3} )^{-1} + (\frac{2}{3} )^{-1} = \frac{3}{2} + \frac{3}{2} = (3+3)/2 = 3\\\\(\frac{4}{2} )^{-2} + (\frac{4}{2} )^{-2} = \frac{4}{16} + \frac{4}{16} = (4+4)/16 = \frac{8}{16} = \frac{1}{2}\\\\\(\frac{3}{2} )^{-2} + (\frac{3}{4} )^{-3} = \frac{4}{9} + \frac{64}{27} = (12+64)/27 = \frac{86}{27} \\\\(\frac{5}{2} )^{-1} + (\frac{5}{4} )^{-2} = \frac{2}{5} + \frac{16}{25} = (10+16)/25 = \frac{26}{25}$