Question

Simplify:
`\frac{\left(x^{(5)/(2)}\cdot 6y^2\cdot \sqrt[3]{y^4}\right)}{12x^{(1)/(2)}\cdot \sqrt[4]{x^3}}`

Answer 1

• 
  `(1)/(2) x^{(5)/(4) }y^{(10)/(3)}`

Explanation:

• 
  `\frac{x^{(5)/(2) }*6y^2*\sqrt[3]{y^4} }{12x^{(1)/(2)}*\sqrt[4]{x^3} } =`
• 
  `\frac{x^{ (5)/(2) }6y^2y^{ (4)/(3) } }{12x^{ (1)/(2) }x^{ (3)/(4) }} =`
• 
  `(1)/(2) x^{(5)/(2) - (1)/(2) - (3)/(4)}y^{2+(4)/(3)}=`
• 
  `(1)/(2) x^{(5)/(4) }y^{(10)/(3)}`