Question

1. $-\frac{4}{5}xz$

Explanation:

Step1: Identify the terms

The expression is $-\frac{4}{5}xz$. Here, the coefficient is $-\frac{4}{5}$ and the variables are $x$ and $z$.

Step2: Analyze the expression

This is a monomial in terms of algebraic expression. A monomial is an algebraic expression consisting of only one term, which can be a constant, a variable, or a product of constants and variables with non - negative integer exponents. In the expression $-\frac{4}{5}xz$, the coefficient $-\frac{4}{5}$ is a constant, and $x$ and $z$ are variables with an exponent of 1 (which is a non - negative integer) and they are multiplied together along with the coefficient.

Answer:

The expression $-\frac{4}{5}xz$ is a monomial (an algebraic expression) with coefficient $-\frac{4}{5}$ and variables $x$ and $z$. If we were to, for example, evaluate it for specific values of $x$ and $z$, say $x = 5$ and $z=2$:

Step1: Substitute the values

Substitute $x = 5$ and $z = 2$ into the expression $-\frac{4}{5}xz$.
We get $-\frac{4}{5}\times5\times2$.

Step2: Simplify the expression

First, $-\frac{4}{5}\times5=- 4$ (the 5 in the numerator and the 5 in the denominator cancel out). Then, $-4\times2=-8$.

If the question was to identify the type of expression or evaluate it for specific values, the above steps apply. If it was just to analyze the expression, it's a monomial with coefficient $-\frac{4}{5}$ and variables $x$ and $z$.