We need to find a way to write 53 as a sum of any of the exponents 2, 4, 8, 16, and 32, since these are the powers we have already computed. We can write:
\[ 53 = 32 + 16 + 4 + 1 \]
This means we can express \( a^{53} \) as:
\[ a^{53} = a^{32} \cdot a^{16} \cdot
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