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UKMT Intermediate Mathematical Challenge, 2025

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

What is the value of $\dfrac{3^6 - 3^4}{2^9 - 2^3}$ ?

(A) $\dfrac{9}{32}$ (B) $\dfrac{9}{16}$ (C) $\dfrac{9}{12}$ (D) $\dfrac{9}{7}$ (E) $\dfrac{9}{5}$

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