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What is the product?

[tex] (4x)\left(-3x^6\right)\left(-7x^3\right) [/tex]

A. [tex] -84x^{12} [/tex]
B. [tex] -84x^{24} [/tex]
C. [tex] 84x^{12} [/tex]
D. [tex] 84x^{24} [/tex]

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.

Thanks for taking the time to read What is the product tex 4x left 3x 6 right left 7x 3 right tex A tex 84x 12 tex B tex 84x 24 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!

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