Question

Please help me Algebra 1

Answer 1

a.
`√(x^n)` =
`x^(n)/(2)`

b.
`√(x^n) = x^((n-1))/(2)√(x)`

Explanation:

a) When n is even, then it is divisible by 2. Because of this, you can write:

• 
  `√(x^n) = (x^n)^(1)/(2)`

• 
  `√(x^n) = x^(n)/(2)`

b) When n is odd, then n - 1 is even. This would make it divisible by 2, and there would be a remainder of 1, so we can write:

• 
  `√(x^n) = (x^n^-^1^+^1) ^(1)/(2)`

• 
  `√(x^n) = (x^n^-^1` ×
  `x)^(1)/(2)`

• 
  `√(x^n) = x^((n-1))/(2)` ×
  `x^(1)/(2)`

• 
  `√(x^n) = x^((n-1))/(2)√(x)`