Question

23. Determine o radical equivalente a cada
potência.
a) 3 2/5
b) 8 4/9
c) 152 7/2
d) 65 1/6​

Answer 1

Potência de expoente racional

$\huge\boxed{\boxed{\boxed{\boxed{\sf\sqrt[\sf n]{\sf a^m}=a^{\frac{m}{n}}}}}}$

$\boxed{\begin{array}{l}\tt a)~\sf 3^{\frac{2}{5}}=\sqrt[\sf 5]{3^2}\\\tt b)~\sf8^{\frac{4}{9}}=\sqrt[\sf9]{8^4}\\\tt c)~\sf 152^{\frac{7}{2}}=\sqrt{152^7}\\\tt d)~\sf 65^{\frac{1}{6}}=\sqrt[\sf6]{65}\end{array}}$