Express the following with positive indices 3 and p to the power of -2 and q divide by r to the power of -3

To express in positive
indices:

3 and p to the power of  -2 and
q

divide by r to the power of
-3.

Solution:

'and' is taken
as mulplication.

The given expression words
becomes

(3 and p to the power of -2 and q)/r to the power
of -3

(3p^(-2q))/(r^(-3).

Now
we use a^(-b) =  1/a^b.

Therefore  (3p^(-2q))/(r^(-3)) =
(3/P^(2q))/ (1/r^3)

(3/p^(2q))/(1/r^3) =
3r^3/p^(2q)

Therefore {3p^(-2q) }/r^(-3) = 3r^3/p^(2q) in
which all the powers  p  and q are in  positive form.