Question

Simplify the expression. (16y54y3)12 Enter your answer in the box.

Answer 1

Simplify the expression:
`(16y^{(5)/(4)}y^3)^{(1)/(2)}`

Use the exponent power:

• 
  `a^n \cdot a^m = a^(n+m)`

• 
  `\sqrt[n]{a^n} =a`
• 
  `(a^n)^m = a^(nm)`

`(16y^{(5)/(4)}y^3)^{(1)/(2)}`

Apply the given rules;

`(16y^{(5)/(4) +3} )^{(1)/(2)}`

Simplify:

`(16y^{(17)/(4)} )^{(1)/(2)}`

then;

`(16)^{(1)/(2)} \cdot (y^{(17)/(4)})^{(1)/(2)} = 4y^{(17)/(8)}`

Therefore, the simplified expression of
`(16y^{(5)/(4)}y^3)^{(1)/(2)}` is,
`4y^{(17)/(8)}`