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Question
\\(\frac{10m^{-5}}{2m^3}\\)
Step1: Simplify the coefficient
Divide the coefficient 10 by 2: $\frac{10}{2} = 5$
Step2: Simplify the variable with exponents
Use the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$. For $m$: $m^{-5-3}=m^{-8}=\frac{1}{m^8}$
Step3: Combine the results
Multiply the simplified coefficient and the simplified variable: $5\times\frac{1}{m^8}=\frac{5}{m^8}$
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$\frac{5}{m^8}$