Question

Ajudem
Calcule as potências com expoente fracionário abaixo

Answer 1

Lembre-se que:

$a^{\frac{b}{c}} = \sqrt[c]{a^b}$

Agora vamos resolver!

$\text{a)} 36^\frac{1}{2} = \sqrt{36} = 6\\\\\text{b)} 15^\frac{3}{4} = \sqrt[4]{15^3} = \sqrt[4]{3375} \approx 7.621\\\\\text{c)} 7^\frac{1}{5} = \sqrt[5]{7} \approx 1.475\\\\\text{d)} 125^\frac{1}{3} = \sqrt[3]{125} = 5\\\\\text{e)} 3^\frac{2}{5} = \sqrt[5]{3^2} = \sqrt[5]{9} \approx 1.551\\\\\text{f)} 64^\frac{1}{3} = \sqrt[3]{64} = 4\\\\\text{g)} 2^\frac{3}{5} = \sqrt[5]{2^3} = \sqrt[5]{8} \approx 1.515$