Question

$\bf{\frac{ {x}^{ \frac{1}{3} } \sqrt{ {x}^{5} } }{ {x}^{1.5}}}$​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$\bf \underline{Given-}$

$\sf\cfrac{ {x}^{ \frac{1}{3} } \sqrt{ {x}^{5} } }{ {x}^{1.5} }$

$\bf \underline{To \: find-}$

$\textsf{the value of x = ?}$

$\bf \underline{Solution-}$

$\sf→ \cfrac{ {x}^{ \frac{1}{3} } \sqrt{ {x}^{5} } }{ {x}^{1.5} }$

$\sf→\cfrac{ {x}^{ \frac{1}{3} } \sqrt{ {x}^{4} x} }{ {x}^{ \frac{15}{10} } }$

$\sf→\cfrac{ {x}^{ \frac{1}{3} } \sqrt{ ({x}^{2})^{2} x} }{ {x}^{ \frac{3}{2} } }$

$\sf→\cfrac{ {x}^{ \frac{1}{3} } \times {x}^{2} \times {x}^{ \frac{1}{2} } }{ {x}^{ \frac{3}{2} } }$

$\sf→\cfrac{ {x}^{ \frac{2 + 12 + 3}{6} } }{ {x}^{ \frac{3}{2} } }$

$\sf{→ {x}^{ \frac {17}{6} } \div {x}^{ \frac{3}{2} } }$

$\sf{ →{x}^{ \frac {17}{6} - \frac{3}{2} } }$

$\sf{→ {x}^{ \frac {17 - 9}{ 6} } }$

$\sf{ →{x}^{ \frac {8}{ 6} } }$

$\bf{→ {x}^{ \frac {4}{3} }}$

$\bf \underline{Hence, the\: value\: of\: X \: is\: {x}^{ \frac {4}{3}}}$