3.27: Index form and exponential quadratic

0606/12/O/N/21 — Question 2 · 7 marks · Indices, Exponentials, Equations

(a)
Given that xyxz÷zzy=xaybzc\dfrac{xy}{xz}\div\dfrac{z}{zy} = x^{a}y^{b}z^{c}, find the exact values of the constants aa, bb and cc.
[3]
(b)
Solve the equation 5(22p+1)17(2p)+3=05(2^{2p + 1}) - 17(2^{p}) + 3 = 0.
[4]