To simplify the expression \( 5653 \) using the quotient rule of exponents, we recognize that \( 5^{653} \) can be rewritten as:
\[ 5^{653} = 5^{600 + 53} = 5^{600} \cdot 5^{53} \]
However, since we need to reflect on it in terms of the options provided, we can focus more on the numerical evaluation. The expression \( 5^{653} \) itself does not directly match any of the options as they appear to be trying to express powers of 5 derived from simplifying or manipulating their bases.
Thus, the most logical simplification or relation considering the basis of exponentiation provided would be represented as:
- \( 5^{9} \)
- \( 5^{1} \)
- \( 5^{3} \)
- \( 5^{18} \)
None of the responses directly correlate to the operation given; rather, let's derive what could be stated in simplifying \( 5^{653} \).
However, if we roughly manage potential evaluation or approximation that the responses are hinting at, while they are abstract and likely unrelated directly to \( 653 \) directly, generally, we would be looking closely at:
If the answer intended for manipulation holds onto what was present, the likely path forwarded would lean towards the largest values.
From the choices:
- \( 5^1 \) would correspond to a fraction \(\frac{5^{10}}{5^{9}} = 5^1\)
- \( 5^3 \) and those others don't directly convert in different sections.
Since we are urged to choose one, depending on contextual basis, without adding 653 as an integral, several align to approximate bases yielding fractions often reduced.
- Let’s take into account appropriate adjustments to represent just to the outcomes and that \( 5^{53} \) or such alignments yield \( 53^{1}, 59, 58\)
We can recognize the \(5^{53}\) holds strongest. Well, focusing on approximation, the overall aim towards \(5^{3}\) would be more approachable.
Therefore the simplified conclusion matches closely to itself for operational relation yield back towards the \(5^3\) thus providing:
The answer is \(5^3\).
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