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

Answer

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

### Step 1: Identify the expression
We start with the expression:
\[ \frac{5}{7}xy^2z^3 \]

### Step 2: Isolate the coefficient
The coefficient of a term is the factor that multiplies the variable part. Here, we want to isolate the coefficient of 5.

### Step 3: Factor out 5
To find the coefficient of 5, we can factor it out from the expression:
\[ \frac{5}{7}xy^2z^3 = 5 \cdot \left(\frac{1}{7}xy^2z^3\right) \]

### Step 4: Identify the coefficient
From the factored form, we see that the remaining part of the expression after factoring out 5 is:
\[ \frac{1}{7}xy^2z^3 \]
This remaining expression is the coefficient of 5.

### Final Answer
Thus, the coefficient of 5 in the expression \(\frac{5}{7}xy^2z^3\) is:
\[ \frac{1}{7}xy^2z^3 \]

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