Question

p^3q^-1/q^2r^-6

Answer 1

\[(P^3q^{-1})\div(q^2r^{-6})\]

\[(P^3q^{-1})\]--------\[(q^2r^{-6})\]
\[P^3\]----------\[q^1(q^2r^{-6})\]
\[(P^3)\]------\[(q^3)\]---\[(r^6)\]

\[P^3*(r^6)\]---\[(q^3)\]


= \[P^3r^6\]---\[q^3\]

When you have a negative exponent treat it as \[1/x^n\]

If you have a fraction being divided by another fraction multiple by the reciprocal of the divisor.
\[5/x^n\]----\[3/x^m\]

\[(5/x^n)*(x^m/3)\]

\[(5x^m/3x^n)\]