We appreciate your visit to Multiply and simplify the expression tex 3w cdot 2x 6 cdot 7w 4x 2 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's multiply and simplify the given expression step by step:
We have the expression:
[tex]\[ 3w \cdot 2x^6 \cdot 7w^4x^2 \][/tex]
1. Multiply the numerical coefficients:
- The numerical coefficients are [tex]\(3\)[/tex], [tex]\(2\)[/tex], and [tex]\(7\)[/tex].
- Multiply them together:
[tex]\[ 3 \times 2 \times 7 = 42 \][/tex]
2. Combine the [tex]\(w\)[/tex] terms:
- We have [tex]\(w\)[/tex] and [tex]\(w^4\)[/tex].
- To multiply these together, we add the exponents (remember that [tex]\(w\)[/tex] is the same as [tex]\(w^1\)[/tex]):
[tex]\[ w^1 \cdot w^4 = w^{1+4} = w^5 \][/tex]
3. Combine the [tex]\(x\)[/tex] terms:
- We have [tex]\(x^6\)[/tex] and [tex]\(x^2\)[/tex].
- Similarly, add the exponents:
[tex]\[ x^6 \cdot x^2 = x^{6+2} = x^8 \][/tex]
4. Put it all together:
- The simplified expression is:
[tex]\[ 42w^5x^8 \][/tex]
So, the simplified result of multiplying the given expression is [tex]\(42w^5x^8\)[/tex].
We have the expression:
[tex]\[ 3w \cdot 2x^6 \cdot 7w^4x^2 \][/tex]
1. Multiply the numerical coefficients:
- The numerical coefficients are [tex]\(3\)[/tex], [tex]\(2\)[/tex], and [tex]\(7\)[/tex].
- Multiply them together:
[tex]\[ 3 \times 2 \times 7 = 42 \][/tex]
2. Combine the [tex]\(w\)[/tex] terms:
- We have [tex]\(w\)[/tex] and [tex]\(w^4\)[/tex].
- To multiply these together, we add the exponents (remember that [tex]\(w\)[/tex] is the same as [tex]\(w^1\)[/tex]):
[tex]\[ w^1 \cdot w^4 = w^{1+4} = w^5 \][/tex]
3. Combine the [tex]\(x\)[/tex] terms:
- We have [tex]\(x^6\)[/tex] and [tex]\(x^2\)[/tex].
- Similarly, add the exponents:
[tex]\[ x^6 \cdot x^2 = x^{6+2} = x^8 \][/tex]
4. Put it all together:
- The simplified expression is:
[tex]\[ 42w^5x^8 \][/tex]
So, the simplified result of multiplying the given expression is [tex]\(42w^5x^8\)[/tex].
Thanks for taking the time to read Multiply and simplify the expression tex 3w cdot 2x 6 cdot 7w 4x 2 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
