Question

Resolva a expressão:

Answer 1

Olá



$\displaystyle \mathsf{ \frac{\left( \frac{1}{64}\cdot \sqrt{16} \right)}{8^{-2}} \cdot 16^{- \frac{1}{2} }~+~ \frac{ \sqrt{64}} {2^4\cdot 2^{-1}} }}\\\\\\\\\mathsf{ \frac{\left( \frac{1}{64}\cdot 4 \right)}{ \frac{1}{8^2} } \cdot \frac{1}{16^{ \frac{1}{2} }} }~+~ \frac{ 8} {16\cdot \frac{1}{2} } }}\\\\\\\\\mathsf{ \frac{\left( \frac{1}{16} \right)}{ \frac{1}{64} } \cdot \frac{1}{ \sqrt{16} }} }~+~ \frac{ 8} {8 } }}$


Divisão de frações, multiplica a 1ª pelo inverso da segunda


$\displaystyle \mathsf{ \frac{1}{16}\cdot 64 \cdot \frac{1}{ \sqrt{16} }} }~+~ 1 }}\\\\\\\\ \mathsf{4\cdot \frac{1}{ 4 }} }~+~ 1 }}\\\\\\\\ \mathsf{1 }~+~ 1 }}\\\\\\\\\boxed{\mathsf{2}}$