4. Multiply the monomials. (5x^yF) (2x³y)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.2: Adding And Subtracting Polynomials
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**Problem 4: Multiplying Monomials**

Multiply the monomials:

\[
(5x^4y^5) \times (2x^3y)
\]

**Explanation:**

To multiply these monomials, follow these steps:

1. **Multiply the coefficients:**  
   \(5 \times 2 = 10\)

2. **Multiply the variables with the same base by adding their exponents:**
   - For \(x\):  
     \(x^4 \times x^3 = x^{4+3} = x^7\)

   - For \(y\):  
     \(y^5 \times y^1 = y^{5+1} = y^6\)

**Final Result:**  
\[
10x^7y^6
\]
Transcribed Image Text:**Problem 4: Multiplying Monomials** Multiply the monomials: \[ (5x^4y^5) \times (2x^3y) \] **Explanation:** To multiply these monomials, follow these steps: 1. **Multiply the coefficients:** \(5 \times 2 = 10\) 2. **Multiply the variables with the same base by adding their exponents:** - For \(x\): \(x^4 \times x^3 = x^{4+3} = x^7\) - For \(y\): \(y^5 \times y^1 = y^{5+1} = y^6\) **Final Result:** \[ 10x^7y^6 \]
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