Question

Copie e complete de modo a obter uma igualdade verdadeira:2^{5}.( ) {5}. 6^{2}= 6^{7}

Answer 1

$2^{5}.()^{5}.6^{2}=6^{7}\\\\2^{5}.()^{5}=\frac{6^{7}}{6^{2}}\\\\2^{5}.()^{5}=6^{7-2}\\\\()^{5}=\frac{6^{5}}{2^{5}}\\\\()^{5}=\frac{(2.3)^{5}}{2^{5}}\\\\()^{5}=\frac{2^{5}.3^{5}}{2^{5}}\\\\()^{5}=2^{5-5}.3^{5}\\\\()^{5}=2^{0}.3^{5}\\\\()^{5}=3^{5}\\\\()=\sqrt[5]{3^{5}}\\\\()=3$