Answer :
To solve the problem, follow these steps:
1. Write down the expression:
[tex]$$
(4x) \cdot (-3x^8) \cdot (-7x^3)
$$[/tex]
2. Multiply the coefficients (the constant numbers):
[tex]$$
4 \times (-3) \times (-7) = 84
$$[/tex]
3. Add the exponents of [tex]$x$[/tex] (recall that for a product of powers with the same base, you add the exponents):
[tex]$$
1 + 8 + 3 = 12
$$[/tex]
(Note: [tex]$4x$[/tex] is the same as [tex]$4x^1$[/tex].)
4. Combine the new coefficient with the sum of the exponents to write the product:
[tex]$$
84x^{12}
$$[/tex]
Thus, the correct product is:
[tex]$$
84x^{12}
$$[/tex]
This corresponds to option 3.
1. Write down the expression:
[tex]$$
(4x) \cdot (-3x^8) \cdot (-7x^3)
$$[/tex]
2. Multiply the coefficients (the constant numbers):
[tex]$$
4 \times (-3) \times (-7) = 84
$$[/tex]
3. Add the exponents of [tex]$x$[/tex] (recall that for a product of powers with the same base, you add the exponents):
[tex]$$
1 + 8 + 3 = 12
$$[/tex]
(Note: [tex]$4x$[/tex] is the same as [tex]$4x^1$[/tex].)
4. Combine the new coefficient with the sum of the exponents to write the product:
[tex]$$
84x^{12}
$$[/tex]
Thus, the correct product is:
[tex]$$
84x^{12}
$$[/tex]
This corresponds to option 3.
