Question

If xyz² = 2z⁴, which of the following is equal to xz?
a) 2z²
b) 2z
c) 2z³
d) 2

Answer 1

To find the value of xz in the equation xyz² = 2z⁴, we isolate x and z and simplify the equation step by step. The correct answer is 2z³.

Step-by-step explanation:

To find the value of xz, we need to isolate x and z in the given equation. We start by dividing both sides of the equation by z² to get:

xyz²/z² = 2z⁴/z²

Canceling out z², we get:

xy = 2z²

Now we can multiply both sides by z to isolate xz:

xyz = 2z²z

Finally, simplifying the right side, we have:

xz = 2z³

Therefore, the correct answer is option c) 2z³.