Answer:
[tex]x^4y^9[/tex]
Step-by-step explanation:
We can simplify this radical expression by expanding the expression inside the radical:
[tex]\sqrt{x^8y^1^8}[/tex] is the same as:
[tex]\sqrt{x^4*x^4*y^9*y^9}[/tex] since the exponents ultimately add up. This can be further simplified into:
[tex]\sqrt{(x^4)^2*(y^9)^2}[/tex], and since the 2 values are being squared, and the square root operation is the inverse of that, it cancels out:
[tex]x^4y^9[/tex]
