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Which expression is equivalent to the given expression? Assume the denominator does not equal zero. Please give a detailed explanation and not just the answer; explain the concept to me, step by step what to do to solve this problem. Thank you.

Which Expression Is Equivalent To The Given Expression Assume The Denominator Does Not Equal Zero Please Give A Detailed Explanation And Not Just The Answer Exp class=

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Solution

- The solution steps are given below:

[tex]\begin{gathered} (\frac{4m^5n^2}{m^2n})^3 \\ \\ =(\frac{4\times m^{2+3}n^{1+1}}{m^2n})^3 \\ \\ =(\frac{4\times m^2n\times m^3n}{m^2n})^3 \\ \\ =(\frac{4\times m^3n}{1})^3 \\ \\ =4^{1\times3}\times m^{3\times3}\times n^{1\times3} \\ \\ =4^3m^9n^3 \\ \\ =64m^9n^3\text{ \lparen OPTION A\rparen} \end{gathered}[/tex]

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