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
- Whole Numbers: \(3 \cdot 4 = 12\) is correct.
- Exponents for \(x\): \(2 + 5 = 7\) is correct.
- 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:
- Whole numbers: 12
- Exponent for \(x\): 7
- Exponent for \(y\): 5
1 answer