Answer :
Let's solve the problem step by step:
We need to find the product of the expression:
[tex]\[
(4x)(-3x^6)(-7x^3)
\][/tex]
Step 1: Multiply the numerical coefficients.
The coefficients are 4, -3, and -7. We multiply them together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
Step 2: Multiply the powers of [tex]\(x\)[/tex].
Each term in the product has a power of [tex]\(x\)[/tex]. We add these exponents together:
- The first term, [tex]\(4x\)[/tex], has an exponent of 1.
- The second term, [tex]\(-3x^6\)[/tex], has an exponent of 6.
- The third term, [tex]\(-7x^3\)[/tex], has an exponent of 3.
Add these exponents:
[tex]\[
1 + 6 + 3 = 10
\][/tex]
Step 3: Combine the results.
Combine the results from Steps 1 and 2 to get the final product:
The coefficient is 84, and the power of [tex]\(x\)[/tex] is 10. Therefore, the product is:
[tex]\[
84x^{10}
\][/tex]
The correct answer from the given choices should be: [tex]\(84x^{10}\)[/tex]. However, none of the options provided directly match this expression, so there might be an issue with the provided options.
We need to find the product of the expression:
[tex]\[
(4x)(-3x^6)(-7x^3)
\][/tex]
Step 1: Multiply the numerical coefficients.
The coefficients are 4, -3, and -7. We multiply them together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
Step 2: Multiply the powers of [tex]\(x\)[/tex].
Each term in the product has a power of [tex]\(x\)[/tex]. We add these exponents together:
- The first term, [tex]\(4x\)[/tex], has an exponent of 1.
- The second term, [tex]\(-3x^6\)[/tex], has an exponent of 6.
- The third term, [tex]\(-7x^3\)[/tex], has an exponent of 3.
Add these exponents:
[tex]\[
1 + 6 + 3 = 10
\][/tex]
Step 3: Combine the results.
Combine the results from Steps 1 and 2 to get the final product:
The coefficient is 84, and the power of [tex]\(x\)[/tex] is 10. Therefore, the product is:
[tex]\[
84x^{10}
\][/tex]
The correct answer from the given choices should be: [tex]\(84x^{10}\)[/tex]. However, none of the options provided directly match this expression, so there might be an issue with the provided options.
