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QUESTION IMAGE

\\(\\frac{10m^{-5}}{2m^3}\\)

Question

\\(\frac{10m^{-5}}{2m^3}\\)

Explanation:

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: $5\times\frac{1}{m^8}=\frac{5}{m^8}$

Answer:

$\frac{5}{m^8}$