Problem

26. Which expression is equivalent to \( \left(\frac{x^{2}}{x^{-4}}\right)^{5} ? \)

Answer

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Answer

\(\left(x^{6}\right)^{5} = x^{30}\)

Steps

Step 1 ：\(\left(\frac{x^{2}}{x^{-4}}\right)^{5} = \left(x^{2} x^{4}\right)^{5}\)

Step 2 ：\(\left(x^{2} x^{4}\right)^{5} = \left(x^{6}\right)^{5}\)

Step 3 ：\(\left(x^{6}\right)^{5} = x^{30}\)

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