Multiply :
`-3bx, -5xy` and `-7b^(3)y^(2)`

Answer

To multiply the algebraic expressions \(-3bx\), \(-5xy\), and \(-7b^3y^2\), we will follow these steps:

### Step 1: Write down the expressions
We start with the expressions we need to multiply:
\[ -3bx, \quad -5xy, \quad -7b^3y^2 \]

### Step 2: Combine the expressions
We can write the multiplication of these expressions as:
\[ (-3bx) \times (-5xy) \times (-7b^3y^2) \]

### Step 3: Multiply the coefficients
Now, we will multiply the numerical coefficients:
\[ -3 \times -5 \times -7 \]
Calculating this gives:
\[ -3 \times -5 = 15 \quad \text{and then} \quad 15 \times -7 = -105 \]

### Step 4: Multiply the variables
Next, we will multiply the variable parts. We will combine the \(b\) terms and the \(y\) terms:
- For \(b\): \(b \times b^3 = b^{1+3} = b^4\)
- For \(x\): \(x \times x = x^{1+1} = x^2\)
- For \(y\): \(y \times y^2 = y^{1+2} = y^3\)

### Step 5: Combine all parts
Now, we combine the results from the coefficients and the variables:
\[ -105b^4x^2y^3 \]

### Final Answer
Thus, the final result of multiplying \(-3bx\), \(-5xy\), and \(-7b^3y^2\) is:
\[ -105b^4x^2y^3 \]

---