Answer :
Let's solve the expression step-by-step:
Given expression: [tex]\((4x)(-3x^8)(-7x^3)\)[/tex]
1. Multiply the Coefficients:
The coefficients are 4, -3, and -7. Multiply them together:
[tex]\(4 \times (-3) = -12\)[/tex]
[tex]\(-12 \times (-7) = 84\)[/tex]
So, the product of the coefficients is 84.
2. Add the Exponents:
The exponents of [tex]\(x\)[/tex] are 1 (since [tex]\(4x = 4x^1\)[/tex]), 8, and 3. Add these exponents:
[tex]\(1 + 8 + 3 = 12\)[/tex]
So, the sum of the exponents is 12.
3. Combine Coefficient and Exponent:
The product is:
[tex]\(84x^{12}\)[/tex]
Therefore, the correct answer is [tex]\(84x^{12}\)[/tex].
Given expression: [tex]\((4x)(-3x^8)(-7x^3)\)[/tex]
1. Multiply the Coefficients:
The coefficients are 4, -3, and -7. Multiply them together:
[tex]\(4 \times (-3) = -12\)[/tex]
[tex]\(-12 \times (-7) = 84\)[/tex]
So, the product of the coefficients is 84.
2. Add the Exponents:
The exponents of [tex]\(x\)[/tex] are 1 (since [tex]\(4x = 4x^1\)[/tex]), 8, and 3. Add these exponents:
[tex]\(1 + 8 + 3 = 12\)[/tex]
So, the sum of the exponents is 12.
3. Combine Coefficient and Exponent:
The product is:
[tex]\(84x^{12}\)[/tex]
Therefore, the correct answer is [tex]\(84x^{12}\)[/tex].
