Question

Simplify the expression.

Answer 1

D.
`\huge 2x^2y\sqrt[5]{7xy^3}`

Explanation:

• 
  `\huge\sqrt[5]{224.x^(11).y^8}` (Given)

• 
  `=\huge\sqrt[5]{2^5.7.x^(10+1).y^(5+3)}`

• 
  `=\huge\sqrt[5]{2^5.7.x^(10).x.y^(5).y^3}`

• 
  `=\huge 2.x^2.y\sqrt[5]{7.x.y^3}`

• 
  `=\huge 2x^2y\sqrt[5]{7xy^3}`

Answer 2

D

Explanation:

Given :

• 
  `\sqrt[5]{224x^(11)y^(8) }`

Solving :

• The maximum number of x we can bring out is 11/5 = 2
• The maximum number of y we can bring out is 8/5 = 1
• The maximum number of 2 we can bring out : 224 = 2⁵ x 7 = 5

Hence :

• 
  `\sqrt[5]{224x^(11)y^(8) }`
• 2x²y
  `\sqrt[5]{7xy^(3) }`
• D