Question

solve (x+7)^2/3=9

Answer 1

\[(x+7)^{\frac{2}{3}}=9\]?

Answer 2

then
\[x+7=9^{\frac{3}{2}}\] or
\[x+7=-9^{\frac{3}{2}}\]

Answer 3

first one gives
\[x+7=27\]
\[x=20\] second one gives
\[x+7=-27\]
\[x=-34\]