Question

Simplify zzxzy, meaning make it an exponent.

A) z³x²y
B) z²x²y²
C) z⁴x²y
D) z²x²y

Answer 1

To simplify zzxzy, we combine like terms to get z³x²y, where z is raised to the third power, x is raised to the second power, and y is to the first power.

Step-by-step explanation:

To simplify zzxzy, we start by identifying the like terms, which are the terms with the same base. Here, the base z appears three times and the base x appears twice.

There's only one y, so its power remains unchanged. To simplify, we combine the bases with their respective exponents: z⁳x²y, which means we raise z to the third power (because it appears three times) and x to the second power (because it appears twice), while y remains the same since it only appears once in the expression.