Question

find the value of 5 power 1/2 into 25 power -2/3 into 624 power 1/3​ with steps

Answer 1

Answer:

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Answer 2

Answer:

${5}^{ \frac{1}{2} } \times {25}^{ \frac{ - 2}{3} } \times {624}^{ \frac{1}{3} } = \\ \\ \\ = {5}^{ \frac{1}{2} } \times {5}^{2 + ( \frac{ - 2}{3} )} \times {(625 - 1)}^{ \frac{1}{3} } \\ \\ = {5}^{ \frac{1}{2} + \frac{6 - 2}{3} } \times ( {625}^{ \frac{1}{3} } ) - {1}^{ \frac{1}{3} } \\ \\ = {5}^{ \frac{11}{6} } \times ( {5}^{ \frac{1}{3} \times 4 } ) \: - 1 \\ \\ \\ = {5}^{ \frac{11}{6 } + \frac{4}{3} } - 1 \\ \\ \\ = {5}^{ \frac{11 + 8}{6} } - 1 \\ \\ = ( {5}^{ \frac{19}{6} } - 1)$

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