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If $a$ and $b$ are positive integers, the operation $\nabla$ is defined by $a \nabla b=a^b \times b^a$. What is the value of $2 \nabla 3$?

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A $36$ B $72$ C $3125$ D $7776$ E $46656$

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Official solution

Since $a \nabla b = a^b \times b^a$, then $2 \nabla 3 = 2^3 \times 3^2 = 8 \times 9 = 72$.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.