Assume that no denominator equals 0.
sqrt 16x^2y^4
= sqrt (4x)y^2
= 4xy^2(answer)
Your answer is correct. Another possible answer is -4xy^2
To simplify the expression sqrt(16x^2y^4), we can break down the term inside the square root.
First, let's find the square root of each factor individually:
sqrt(16) = 4 since 4 * 4 = 16
sqrt(x^2) = x since x * x = x^2
sqrt(y^4) = y^2 since y^2 * y^2 = y^4
Now, putting it all together, we have:
sqrt(16x^2y^4) = sqrt(16) * sqrt(x^2) * sqrt(y^4) = 4 * x * y^2 = 4xy^2
So, the simplified expression is 4xy^2.