Question

qual o valor da expressão (3/2)^3 - (1/2)^2 x (2/15)^-1 ?
A) 3/2
B) -3/4
C) 3/8
D) 401/120

Answer 1

D)
$( \frac{3}{2}) {}^{3} - ( \frac{1}{2}) {}^{2} \times ( \frac{2}{15} ) {}^{1} \\ \frac{3}{2} \times \frac{3}{2} \times \frac{3}{2} - \frac{1}{2} \times \frac{1}{2} \times \frac{2}{15} \\ \frac{27}{8} - \frac{1}{4} \times \frac{2}{15} \\ \frac{27}{8} mmc(30) - \frac{1}{30} mmc(8) \\ \frac{810}{240} - \frac{8}{240} \\ \frac{802}{240} \\ \frac{401}{120}$