Find constants in identity

A question is this type if and only if it asks to find the values of constants (typically a, b, c, k, n, p, q) that make an algebraic or exponential identity true, such as (3pq^2)^4 × 2p√(q^8) ≡ ap^bq^c.

1 questions · Easy -1.2

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Edexcel P1 2020 October Q1
3 marks Easy -1.2
  1. Given that
$$\left( 3 p q ^ { 2 } \right) ^ { 4 } \times 2 p \sqrt { q ^ { 8 } } \equiv a p ^ { b } q ^ { c }$$ find the values of the constants \(a , b\) and \(c\).