Simplify
(3x^3y^2z^6/xy^-2z^3)^2
9x^4y^4z^12 / x^2y^-4z^6
simplifies to
9x^6y^8/z^6
To simplify the expression `(3x^3y^2z^6/xy^-2z^3)^2`, we can start by simplifying the inside of the parentheses.
First, divide the like terms with the same base:
3x^3 / x = 3x^(3-1) = 3x^2
y^2 / y^-2 = y^(2-(-2)) = y^4
z^6 / z^3 = z^(6-3) = z^3
Now, we have:
(3x^2y^4z^3)^2
To simplify the expression further, we can multiply the exponents.
(3^2)(x^(2*2))(y^(4*2))(z^(3*2))
Simplifying the expression:
9x^4y^8z^6