simplification of (xy2z)3

To simplify (xy2z)3, we need to raise each term inside the parentheses to the third power:

(xy2z)3 = x3(y2)3(z)3

Next, we can simplify the expression by performing the exponentiation for each term:

x3(y2)3(z)3 = x3y6z3

Therefore, (xy2z)3 simplified is x3y6z3.

To simplify the expression (xy^2z)^3, we need to raise each term inside the parentheses to the power of 3.

First, let's simplify the term xy^2z:

(xy^2z)^3
= (x^1 * y^2 * z^1)^3
= x^3 * y^(2*3) * z^3
= x^3 * y^6 * z^3

Therefore, the simplified form of (xy^2z)^3 is x^3 * y^6 * z^3.