Question

O valor da expressão √5 : ⁷√5 é​

Answer 1

Resposta:

$=5^{\frac{5}{14}$

Explicação passo-a-passo:

$\sqrt{5}\:\div \sqrt[7]{5}\:= \\\\\sqrt{a}=a^{\frac{1}{2}}\\\\\sqrt{5}=5^{\frac{1}{2}}\\\\=\frac{5^{\frac{1}{2}}}{\sqrt[7]{5}}\\\\\sqrt[n]{a}=a^{\frac{1}{n}}\\\\\sqrt[7]{5}=5^{\frac{1}{7}}\\\\=\frac{5^{\frac{1}{2}}}{5^{\frac{1}{7}}}\\\\=5^{\frac{5}{14}}$