1.9: Index laws with three variables

0606/12/O/N/16 — Question 2 · 3 marks

1.9 diagram
(a)
Given that p13q12r32p23(qr)5=paqbrc\dfrac{p^{\frac{1}{3}}q^{-\frac{1}{2}}r^{\frac{3}{2}}}{p^{-\frac{2}{3}}\sqrt{(qr)^{5}}} = p^{a}q^{b}r^{c}, find the value of each of the integers aa, bb and cc.
[3]