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Answer :
To find the product of [tex]\((4x)(-3x^8)(-7x^3)\)[/tex], follow these steps:
1. Calculate the Coefficient:
- Multiply the numerical coefficients together: [tex]\(4 \times -3 \times -7\)[/tex].
- First, calculate [tex]\(4 \times -3 = -12\)[/tex].
- Then multiply the result by [tex]\(-7\)[/tex], so [tex]\(-12 \times -7 = 84\)[/tex].
2. Calculate the Exponent for [tex]\(x\)[/tex]:
- When multiplying powers of the same base, add the exponents. The expression is [tex]\(x^1 \times x^8 \times x^3\)[/tex].
- Add the exponents: [tex]\(1 + 8 + 3 = 12\)[/tex].
3. Combine the Results:
- The product is [tex]\(84x^{12}\)[/tex].
So, the correct answer is [tex]\(84x^{12}\)[/tex], which corresponds to the option [tex]\(84 x^{12}\)[/tex].
1. Calculate the Coefficient:
- Multiply the numerical coefficients together: [tex]\(4 \times -3 \times -7\)[/tex].
- First, calculate [tex]\(4 \times -3 = -12\)[/tex].
- Then multiply the result by [tex]\(-7\)[/tex], so [tex]\(-12 \times -7 = 84\)[/tex].
2. Calculate the Exponent for [tex]\(x\)[/tex]:
- When multiplying powers of the same base, add the exponents. The expression is [tex]\(x^1 \times x^8 \times x^3\)[/tex].
- Add the exponents: [tex]\(1 + 8 + 3 = 12\)[/tex].
3. Combine the Results:
- The product is [tex]\(84x^{12}\)[/tex].
So, the correct answer is [tex]\(84x^{12}\)[/tex], which corresponds to the option [tex]\(84 x^{12}\)[/tex].
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