Question

Qual o resultado da conta:
(3/2)²+(2/3)^-3

Answer 1

Boa tarde

$(\frac{3}{2} )^{2} + \frac{2}{3}^{-3}$

$\frac{9}{4} + \frac{3}{2}^{3} \\\\ \frac{9}{4} + \frac{27}{8}$

$\frac{9}{4} + \frac{27}{8} = \frac{18}{8} + \frac{27}{8} = \frac{45}{8}$


Bons estudos!

Answer 2

$(\frac{3}{2})^2 + ( \frac{2}{3} )^{-3} = (\frac{3}{2})^2 + ( \frac{3}{2})^3 = \frac{3^2}{2^2} + \frac{3^3}{2^3} = \frac{9}{4} + \frac{27}{8} = \frac{2 * 9 + 1* 27}{8} = \\ \\ = \frac{18+27}{8} = \frac{45}{8}$

Obs: Lembre-se das propriedades de potenciação:

$(\frac{x}{y})^a = \frac{x^a}{y^a} \\ \\ (\frac{x}{y})^{-a} = (\frac{y}{x})^{a}$