Question

2/3+[(1/2)elevado a 0 - (-1/2) elevado a 3]

Answer 1

Resposta:

$\frac{2}{3}+\left(\left(\frac{1}{2}\right)^0-\left(-\frac{1}{2}\right)^3\right)=\frac{43}{24}\quad \left(\mathrm{Decimal:\quad }\:1.79166\dots \right)$

Explicação passo-a-passo:

$\left(\frac{1}{2}\right)^0=1$

$=\frac{2}{3}+1-\left(-\frac{1}{2}\right)^3$

= $\frac{2}{3}+1+\frac{1}{2^3}$

= $\frac{2}{3}+\frac{1}{2^3}+\frac{1}{1}$

= $\frac{2}{3}+\frac{1}{8}+\frac{1}{1}$

$=\frac{16+3+24}{24}$

$=\frac{43}{24}$