Question

As simplificações de $\sqrt[3]{3^{2} }$X$\sqrt[5]{3}$ e $\sqrt[4]{2^{10} }$ sao respectivamente:

Answer 1

Explicação passo-a-passo:

$M=\sqrt[3]{3^2}\cdot\sqrt[5]{3}$

$M=\sqrt[15]{3^{10}}\cdot\sqrt[15]{3^3}$

$M=\sqrt[15]{3^{10+3}}$

$M=\sqrt[15]{3^{13}}$

$N=\sqrt[4]{2^{10}}$

$N=\sqrt[4]{(2^2)^4\cdot2^2}$

$N=2^2\sqrt[4]{2^2}$

$N=4\sqrt[4\div2]{2^{2\div2}}$

$N=4\sqrt[2]{2}$

Answer 2

Resposta:

Explicação passo-a-passo:

Simplificação

$\sqrt[3\times 5]{3^{2\times 5} } \times\sqrt[5\times 3]{3^{3} } \\\\\sqrt[15]{3^{10} } \times\sqrt[15]{3^{3} } \\\\\sqrt[15]{3^{10} \times 3^{3} } \\\\\sqrt[15]{3^{10+3} }\\\\\sqrt[15]{3^{13}}$

=>>

$\sqrt[4\div2]{2^{10\div2} } \\\\\sqrt[2]{2^{5} }\\\\4\sqrt[2]{2 }$