3.12: Index form of a product; equation in x5/4x^{5/4}

0606/11/O/N/21 — Question 4 · 7 marks

(a)
Given that p7q2r3=paqbrc\sqrt{p^{7}q^{2}\sqrt[3]{r}} = p^{a}q^{b}r^{c}, find the value of each of the constants aa, bb and cc.
[3]
(b)
Solve the equation x5/28x5/4+16=0x^{5/2} - 8x^{5/4} + 16 = 0.
[4]