Equate exponents of each prime on both sides

CAT has tested this idea 3 times across 3 papers, from 2019 to 2025. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.

Question	What it asks	Answer
CAT 2025 Slot 3 · QA Q9	products of powers of 12, 4, 5, 8, 20, 243	112
CAT 2019 Slot 1 · QA Q24	powers of 2 and 3 with integer m, n	C
CAT 2023 Slot 1 · QA Q4	168 divides 1134^n; 1134^n divides 168^m	C

Part of Logarithms & Exponents (55 questions since 2017).