Question

Solve `4x^(1//2)`?

Answer 1

`4x^"1/2" = 4 sqrt(x)`

Explanation:

Assuming your question is `4x^"1/2"`, we can use the laws of exponents to solve.

Rule: `x^"m/n"=root(n)(x^m)`
Problem: `4x^"1/2"`
`= 4*x^"1/2"`
`= 4*root2(x^1)`
`= 4sqrt(x)`

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Note that if the question you meant to ask is `(4x)^"1/2"` then you can use the laws of exponents to solve as follows.

Rule: `x^"m/n"=root(n)(x^m)`
Problem: `(4x)^"1/2"`
`=root2((4x)^1)`
`=sqrt(4x)`

Rule: `sqrt(ab)=sqrta*sqrtb`
`sqrt(4x)=sqrt(4) * sqrt(x)`
`=2sqrtx`

More:
https://www.mathsisfun.com/algebra/exponent-laws.html