In `(5)/(7)xy^(2)z^(3)`, write the coefficient of :
`(5)/(7)`

Answer

To find the coefficient of \(\frac{5}{7}\) in the expression \(\frac{5}{7}xy^2z^3\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Expression**: The given expression is \(\frac{5}{7}xy^2z^3\).

2. **Understand Coefficient**: The coefficient of a term in an algebraic expression is the numerical factor that multiplies the variables. In this case, \(\frac{5}{7}\) is the numerical part of the expression.

3. **Separate the Coefficient**: We can rewrite the expression to clearly see the coefficient:
\[ \text{Expression} = \left(\frac{5}{7}\right) \cdot (xy^2z^3) \]
Here, \(\frac{5}{7}\) is the coefficient of the entire term \(xy^2z^3\).

4. **Identify Remaining Variables**: The remaining part of the expression after separating the coefficient is \(xy^2z^3\).

5. **Conclusion**: Therefore, the coefficient of \(\frac{5}{7}\) in the expression \(\frac{5}{7}xy^2z^3\) is \(xy^2z^3\).

### Final Answer:
The coefficient of \(\frac{5}{7}\) in \(\frac{5}{7}xy^2z^3\) is \(xy^2z^3\).

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