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Answer:
[tex]\frac{1}{x^{45}}[/tex]Explanation:
The given expression is
[tex](x^{-5})^9[/tex]In this case, we can multiply the exponents to get
[tex]x^{-5\cdot9}=x^{-45}[/tex]Then, to use positive exponents, we need to write it as a fraction
[tex]\frac{1}{x^{45}}[/tex]Therefore, the answer is
[tex]\frac{1}{x^{45}}[/tex]