Question

What is [(7x^3)(y^2)]^2/7 in radical form?

Answer 1

remember
$x^ \frac{m}{n} = \sqrt[n]{x^m}$
and
$(zy)^m=(z^m)(y^m)$
and
(x^m)^n=x^(mn)

so
$((7x^3)(y^2))^ \frac{2}{7} = \sqrt[7]{((7x^3)(y^2))^2}$=
$\sqrt[7]{((7x^3)^2(y^2)^2)}$=
$\sqrt[7]{((7^2x^6)(y^4))}$=
$\sqrt[7]{((49x^6)(y^4))}$=
$\sqrt[7]{49x^6y^4}$