(x^2 yz)^2 (xy^2 z^2) over (xyz^2) simplify

Answer 1

To simplify the expression, we first expand the terms inside the parentheses:

(x^2 yz)^2 = x^4 y^2 z^2
(xy^2 z^2) = x y^2 z^2

Now, we multiply the two expressions together:

x^4 y^2 z^2 * x y^2 z^2 = x^5 y^4 z^4

Finally, we divide the result by xyz^2:

(x^5 y^4 z^4) / (xyz^2) = x^(5-1) y^(4-1) z^(4-2) = x^4 y^3 z^2

Therefore, the simplified expression is x^4 y^3 z^2.

Answer 2

are you sure

Answer 3

Let's reevaluate the expression:

(x^2 yz)^2 = (x^4 y^2 z^2)
(xy^2 z^2) = (x y^2 z^2)

Therefore, the expression becomes:

((x^4 y^2 z^2)(x y^2 z^2)) / (xyz^2)
= (x^5 y^4 z^4) / (xyz^2)
= x^(5-1) * y^(4-1) * z^(4-2)
= x^4 * y^3 * z^2

So, the simplified expression is x^4 * y^3 * z^2. Thank you for pointing that out.