((m^(5)n^(3)p^(-4))/(m^(-5)n^(-2)))^(3) Write your answer using only positive exponents.

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Simplify Inside Parentheses: First, we will simplify the expression inside the parentheses by using the properties of exponents. Specifically, we will use the property that states a^(b)/a^(c) = a^(b-c) to combine the m and n terms. ((m^(5)n^(3)p^(-4))/(m^(-5)n^(-2))) = m^(5 - (-5)) * n^(3 - (-2)) * p^(-4)Combine Exponents: Now we will perform the subtraction in the exponents for m and n. m^(5 - (-5)) = m^(5 + 5) = m^(10) n^(3 - (-2)) = n^(3 + 2) = n^(5) The p term remains the same since there is no p term in the denominator to combine with. So we have m^(10) * n^(5) * p^(-4).Raise to Power of 3: Next, we will raise each term to the power of 3, as indicated by the exponent outside the parentheses. (m^(10) * n^(5) * p^(-4))^(3) = m^(10*3) * n^(5*3) * p^(-4*3)Perform Exponent Multiplication: Now we will perform the multiplication in the exponents. m^(10*3) = m^(30) n^(5*3) = n^(15) p^(-4*3) = p^(-12)Final Expression with Positive Exponents: Finally, we will write the expression using only positive exponents. Since p^(-12) has a negative exponent, we will write it as 1/p^(12) to make the exponent positive. The final simplified expression is m^(30) * n^(15) * (1/p^(12)).

$\left(\frac{m^{5} n^{3} p^{-4}}{m^{-5} n^{-2}}\right)^{3}$ $\newline$ Write your answer using only positive exponents.

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$\left(\frac{m^{5} n^{3} p^{-4}}{m^{-5} n^{-2}}\right)^{3}$ $\newline$ Write your answer using only positive exponents.