Question

Simplify ( class 11th ).​

Answer 1

Question

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

Solution

• $\sf→ \cfrac{ {x}^{ \frac{1}{3} } \sqrt{ {x}^{5} } }{ {x}^{1.5} }$
• $\sf→\cfrac{ {x}^{ \frac{1}{3} } \sqrt{ {x}^{4} x} }{ {x}^{ \frac{15}{10} } }$
• $\sf→\cfrac{ {x}^{ \frac{1}{3} } \sqrt{ ({x}^{2})^{2} x} }{ {x}^{ \frac{3}{2} } }$
• $\sf→\cfrac{ {x}^{ \frac{1}{3} } \times {x}^{2} \times {x}^{ \frac{1}{2} } }{ {x}^{ \frac{3}{2} } }$
• $\sf→\cfrac{ {x}^{ \frac{2 + 12 + 3}{6} } }{ {x}^{ \frac{3}{2} } }$
• $\sf{→ {x}^{ \frac {17}{6} } \div {x}^{ \frac{3}{2} } }$
• $\sf{ →{x}^{ \frac {17}{6} - \frac{3}{2} } }$
• $\sf{→ {x}^{ \frac {17 - 9}{ 6} } }$
• $\sf{ →{x}^{ \frac {8}{ 6} } }$

• $\bf{→ {x}^{ \frac {4}{3} }}$

$\huge \sf\cfrac{ {x}^{ \frac{1}{3} } \sqrt{ {x}^{5} } }{ {x}^{1.5} }=\bf{x^¾}$