The powers of 3

Algebra Level 1

(323322)(324323)(325324)\large \left({\color{#3D99F6}3}^{23} - {\color{#3D99F6}3}^{22}\right)\left({\color{#3D99F6}3}^{24} - {\color{#3D99F6}3}^{23}\right) \left({\color{#3D99F6}3}^{25} - {\color{#3D99F6}3}^{24}\right)

This expression can be simplified as 2m×3n{\color{#D61F06}2}^{\color{#69047E}m} \times {\color{#3D99F6}3}^{\color{teal}n}.

What is m+n?{\color{#69047E}m} + {\color{teal}n}?

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