Question

Como reduzir a uma potência?

$\frac{ 2^{3}.32. \sqrt{64}}{16 \sqrt[3]{8} }$

Answer 1

$\large\boxed{\begin{array}{l}\rm \dfrac{2^3\cdot32\cdot\sqrt{64}}{16\cdot\sqrt[\rm3]{\rm8}}=\dfrac{2^3\cdot2^5\cdot8}{2^4\cdot2}\\\\\rm\dfrac{2^3\cdot2^5\cdot2^3}{2^4\cdot2}=\dfrac{2^{3+5+3}}{2^{4+1}}=\dfrac{2^{11}}{2^{5}}\\\\\rm2^{11-5}=2^6\end{array}}$