6. Simplify:
4x2yz2
2z
Select answer A 2x2y2z2
Select answer B 2x2z
Select answer C 2x2yz2
Select answer D 2x2y
Select answer E 2x2yz
is that supposed to say : 4x^2yz^2/(2z) ?
if so, then it is 2x^2yz
To simplify the given expression, 4x^2yz^2 / 2z, you can simplify it step by step by following these steps:
Step 1: Divide the numerator (4x^2yz^2) by the denominator (2z).
4x^2yz^2 / 2z = (4x^2yz^2) / (2z)
Step 2: Apply the rule of division that states dividing two numbers with the same base subtracts their exponents.
4x^2yz^2 / 2z = (4/2) * (x^2/x^0) * (y/y^0) * (z^2/z^1)
Step 3: Simplify the powers of x, y, and z.
4x^2yz^2 / 2z = 2 * (x^(2-0)) * (y^(1-0)) * (z^(2-1))
Step 4: Simplify the remaining terms.
4x^2yz^2 / 2z = 2 * x^2 * y * z
So, the simplified expression is 2x^2yz.
Therefore, the correct answer is C. 2x^2yz^2.