Question

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

Answer 1

Finding the coefficient of $z^3$ :

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

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

Since, $-7x{y}^2$ is multiplied to $z^3$

Hence , the coefficient of $z^3$ is $-7x{y}^2$ .