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Answer:
[tex]2^{11}[/tex]
Step-by-step explanation:
Key indices rule: When dividing powers, subtract the indices and keep the base numbers constant.
[tex]\frac{2^{3} }{2^{-8} }[/tex] Based on the rule above, the indices are determined by 3--8, which is 11.
The base number is kept constant.
Therefore, the answer is [tex]2^{11}[/tex].