Question

Determine o valor da expressão: 2 elevado a -3 + 3 elevado a -2 - (1/3) elevado a 3

Answer 1

$2^{-3}+3^{-2}-(\frac{1}{3})^3\\\\( \frac{1}{2} )^3+( \frac{1}{3} )^2-( \frac{1}{3} )^3\\\\ \frac{1^3}{2^3} + \frac{1^2}{3^2}- \frac{1^3}{3^3} \\\\ \frac{1}{8} + \frac{1}{9}- \frac{1}{27} (MMC(8,9,27)=216)\\\\ \frac{27+24-8}{216} =\ \textgreater \ \boxed{\boxed{ \frac{43}{216} }}$