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Answer:
[tex]6^{9}[/tex]
Step-by-step explanation:
When multiplying exponents with the same base, add the exponents:
[tex]\frac{6^{10-4} }{6^{-5+2} }[/tex] = [tex]\frac{6^{6} }{6^{-3} }[/tex]
Then use the negative exponent rule
[tex]\frac{6^{6} }{6^{-3} }[/tex] = [tex]6^{6+3}[/tex] = [tex]6^{9}[/tex]