Question

(A) X^76/15
(B) X^78/15
(C) X^79/15
(D) 77/15​

Answer 1

Solution

$\frac{ \sqrt{x {}^{3} } \times \sqrt[3]{x {}^{5} } }{ \sqrt[5]{x {}^{3} } } \times \sqrt[30]{x {}^{77} } \\ = \frac{x {}^{ \frac{3}{2} } \times x {}^{ \frac{5}{3} } }{x {}^{ \frac{3}{5} } } \times x {}^{ \frac{77}{30} } \\ = x {}^{ \frac{3}{2} + \frac{5}{3} + \frac{77}{30} - \frac{3}{5} } \\ = x {}^{ \frac{77}{15} }$

option (d)

✌️✌️✌️✌️

Answer 2

Step-by-step explanation:

Solution

\begin{lgathered}\frac{ \sqrt{x {}^{3} } \times \sqrt[3]{x {}^{5} } }{ \sqrt[5]{x {}^{3} } } \times \sqrt[30]{x {}^{77} } \\ = \frac{x {}^{ \frac{3}{2} } \times x {}^{ \frac{5}{3} } }{x {}^{ \frac{3}{5} } } \times x {}^{ \frac{77}{30} } \\ = x {}^{ \frac{3}{2} + \frac{5}{3} + \frac{77}{30} - \frac{3}{5} } \\ = x {}^{ \frac{77}{15} } \\\end{lgathered}

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