Answer :
Let's find the product of the given expression step by step:
The expression is [tex]\((4x)(-3x^8)(-7x^3)\)[/tex].
1. Multiply the Coefficients:
- Coefficients are the numerical parts in front of each term: [tex]\(4\)[/tex], [tex]\(-3\)[/tex], and [tex]\(-7\)[/tex].
- Multiply these together:
[tex]\[
4 \times (-3) \times (-7) = 4 \times 21 = 84
\][/tex]
- Note: Multiplying two negatives results in a positive, so the product of [tex]\(-3\)[/tex] and [tex]\(-7\)[/tex] is positive [tex]\(21\)[/tex].
2. Multiply the Variables:
- We have [tex]\(x\)[/tex], [tex]\(x^8\)[/tex], and [tex]\(x^3\)[/tex].
- When you multiply variables with the same base, you add their exponents:
[tex]\[
x^{1} \times x^8 \times x^3 = x^{1+8+3} = x^{12}
\][/tex]
3. Combine the Results:
- Combine the coefficient and the variable with the new exponent:
[tex]\[
84x^{12}
\][/tex]
Therefore, the product of the expression [tex]\((4x)(-3x^8)(-7x^3)\)[/tex] is [tex]\(84x^{12}\)[/tex].
So, the answer is [tex]\(84x^{12}\)[/tex].
The expression is [tex]\((4x)(-3x^8)(-7x^3)\)[/tex].
1. Multiply the Coefficients:
- Coefficients are the numerical parts in front of each term: [tex]\(4\)[/tex], [tex]\(-3\)[/tex], and [tex]\(-7\)[/tex].
- Multiply these together:
[tex]\[
4 \times (-3) \times (-7) = 4 \times 21 = 84
\][/tex]
- Note: Multiplying two negatives results in a positive, so the product of [tex]\(-3\)[/tex] and [tex]\(-7\)[/tex] is positive [tex]\(21\)[/tex].
2. Multiply the Variables:
- We have [tex]\(x\)[/tex], [tex]\(x^8\)[/tex], and [tex]\(x^3\)[/tex].
- When you multiply variables with the same base, you add their exponents:
[tex]\[
x^{1} \times x^8 \times x^3 = x^{1+8+3} = x^{12}
\][/tex]
3. Combine the Results:
- Combine the coefficient and the variable with the new exponent:
[tex]\[
84x^{12}
\][/tex]
Therefore, the product of the expression [tex]\((4x)(-3x^8)(-7x^3)\)[/tex] is [tex]\(84x^{12}\)[/tex].
So, the answer is [tex]\(84x^{12}\)[/tex].
