Question

Simplificando a expressão (4^3/2 + 8^-2/3 - 2^-2) : 0,75 , obtemos:a) 8/25b) 16/25c) 16/3d) 21/2e) 32/3

Answer 1

$(4^{(3/2)}+8^{(-2/3)}-2^{-2}):0,75 \Rightarrow \\ \\ \\ (2^{2*(3/2)}+2^{3*(-2/3)}-2^{-2}): \frac{3}{4} \Rightarrow \\ \\ \\ (2^3+2^{-2}-2^{-2})* \frac{4}{3} \Rightarrow \\ \\ \\ (2^3+2^{-2}-2^{-2})* \frac{2^2}{3} \Rightarrow \\ \\ \\ (2^{(3+2)}+2^{(-2+2)}-2^{(-2+2)})* \frac{1}{3} \Rightarrow \\ \\ \\ (2^{5}+2^{0}-2^{0})* \frac{1}{3} \Rightarrow \\ \\ \\ (32+1-1)* \frac{1}{3} \Rightarrow \\ \\ \\ \frac{32}{3} \\ \\ \\ \\ \boxed{Resposta{:}\, Alternativa\,\,e)}$