High School

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What is the product?

[tex](4x)(-3x^8)(-7x^3)[/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 want to find the product of [tex]\((4x)(-3x^8)(-7x^3)\)[/tex].

1. Multiply the Constants:
First, multiply the constant numbers together:
[tex]\[
4 \times (-3) \times (-7) = 4 \times 21 = 84
\][/tex]

2. Multiply the Variables:
Next, we need to multiply the [tex]\(x\)[/tex] terms. When multiplying terms with the same base, you add the exponents. So, for the exponents, we have:
[tex]\[
x^1 \times x^8 \times x^3 = x^{1+8+3} = x^{12}
\][/tex]

3. Combine the Results:
Combine the constant result with the variable result:
[tex]\[
84x^{12}
\][/tex]

Thus, the product is [tex]\(84x^{12}\)[/tex].

Looking at the choices given:
- [tex]\(-84 x^{12}\)[/tex]
- [tex]\(-84 x^{24}\)[/tex]
- [tex]\(84 x^{12}\)[/tex]
- [tex]\(84 x^{24}\)[/tex]

The correct answer is [tex]\(84 x^{12}\)[/tex].

Thanks for taking the time to read What is the product tex 4x 3x 8 7x 3 tex A tex 84x 12 tex B tex 84x 24 tex C tex 84x 12. 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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