Question

In $-7x{y}^2{z}^3$, write down the coefficient $xyz$.

Answer 1

Finding the coefficient of $xyz$ :

A coefficient of a term is the constant and variable which are multiplied to the term.

Here, $-7x{y}^2{z}^3$ can be written as

$$\begin{gathered} -7x{y}^2{z}^3=-7\times x\times y^2\times z^3 \\ =-7\times x\times y\times y\times z\times z\times z \\ =-7y{z}^2\times xyz \end{gathered}$$

Since, $-7y{z}^2$ is multiplied to $xyz$

Hence, the coefficient of $xyz$ is $-7y{z}^2$ .