1.7: Equating indices with mixed bases

0606/12/M/J/18 — Question 12 · 3 marks

Do not use a calculator in this question.

1.7 diagram
(a)
Given that 6p×8p+2×3q92q3\dfrac{6^{p} \times 8^{p+2} \times 3^{q}}{9^{2q-3}} is equal to 27×342^{7} \times 3^{4}, find the value of each of the constants pp and qq.
[3]