Question

how we will solve this
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Answer 1

Answer:

$\sqrt{3 \times {5}^{ - 3} } \div \sqrt{ {3}^{ - 1} } \times \sqrt{5 } \times \sqrt[6]{3 \times {5}^{4 } } \\ = \sqrt{3 \times \frac{1}{ 125} } \div \sqrt{ \frac{1}{3} } \times \sqrt{5} \times \sqrt[6]{3 \times 625} \\ = \sqrt {3} \times {\frac{1}{125}}^{ \frac{1}{2} } \times \sqrt{3} \times \sqrt{5 }\times \sqrt[6]{3} \times \sqrt[6]{625} \\ = {3}^{ \frac{1}{2} + \frac{1}{2} + \frac{1}{6}} \times {5}^{ - 3 + \frac{1}{2} + \frac{2}{3} } \\ = {3}^{ \frac{7}{6} } \times {5}^{ \frac{ - 11}{6} } \\ = \sqrt[6]{ {3}^{7} \times {5}^{ - 11} }$

Step-by-step explanation:

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