Question

Simplify the expression. Steps: 1. Multiply whole numbers 2. Add the exponents for x 3. Add the exponents for y 4. Check your work (2 points) Responses 7 7

Answer 1

To simplify the expression step-by-step, let's assume you have a multiplication problem involving whole numbers and variables \(x\) and \(y\). For example, let's say the expression is \(3x^2y^3 \cdot 4x^5y^2\).

### Step 1: Multiply Whole Numbers
Multiply the coefficients (whole numbers):
\[ 3 \cdot 4 = 12 \]

### Step 2: Add the Exponents for \(x\)
Add the exponents of \(x\):
\[ 2 + 5 = 7 \]
So, \(x^2 \cdot x^5 = x^7\).

### Step 3: Add the Exponents for \(y\)
Add the exponents of \(y\):
\[ 3 + 2 = 5 \]
So, \(y^3 \cdot y^2 = y^5\).

### Step 4: Combine the Results
Combine all parts of the expression:
\[ 12x^7y^5 \]

### Step 5: Check Your Work
1. **Whole Numbers:** \(3 \cdot 4 = 12\) is correct.
2. **Exponents for \(x\):** \(2 + 5 = 7\) is correct.
3. **Exponents for \(y\):** \(3 + 2 = 5\) is correct.

### Final Result
So, the simplified expression is:
\[ 12x^7y^5 \]

If by "Responses 7 7," you are indicating the answers specifically needed for the steps, they would be:
1. Whole numbers: **12**
2. Exponent for \(x\): **7**
3. Exponent for \(y\): **5**