Question

Simplify

Answer 1

\[p ^{1/3}p ^{5/6}p ^{1/2}\div (p ^{4})^{-1/3}\]

Answer 2

Rules on Powers.
\[p^a*p^b=p^{a+b}\]\[(p^a)^b=p^{ab}\]\[p^a/p^b=p^{a-b}\]
Back to the question.
\[(1/3+5/6+1/2)-4*(-1/3)\]
\[2/6+5/6+3/6+4/3\]\[10/6+4/3\]\[5/3+4/3\]\[9/3\]\[3\]

\[p^3\]