Answer :
To solve the product
[tex]$$
(4x)\left(-3x^8\right)\left(-7x^3\right),
$$[/tex]
we follow these steps:
1. Multiply the coefficients (the numerical parts):
[tex]$$
4 \times (-3) \times (-7) = 84.
$$[/tex]
2. Use the property of exponents for multiplying powers of [tex]$x$[/tex], which states that [tex]$x^a \cdot x^b = x^{a+b}$[/tex]. The exponents are:
[tex]$$
1 \text{ (from } x \text{)},\quad 8 \text{ (from } x^8 \text{)},\quad 3 \text{ (from } x^3 \text{)}.
$$[/tex]
Adding these exponents gives:
[tex]$$
1 + 8 + 3 = 12.
$$[/tex]
3. Combine the results to obtain the final product:
[tex]$$
84x^{12}.
$$[/tex]
Thus, the product of the given expression is
[tex]$$
84 x^{12}.
$$[/tex]
[tex]$$
(4x)\left(-3x^8\right)\left(-7x^3\right),
$$[/tex]
we follow these steps:
1. Multiply the coefficients (the numerical parts):
[tex]$$
4 \times (-3) \times (-7) = 84.
$$[/tex]
2. Use the property of exponents for multiplying powers of [tex]$x$[/tex], which states that [tex]$x^a \cdot x^b = x^{a+b}$[/tex]. The exponents are:
[tex]$$
1 \text{ (from } x \text{)},\quad 8 \text{ (from } x^8 \text{)},\quad 3 \text{ (from } x^3 \text{)}.
$$[/tex]
Adding these exponents gives:
[tex]$$
1 + 8 + 3 = 12.
$$[/tex]
3. Combine the results to obtain the final product:
[tex]$$
84x^{12}.
$$[/tex]
Thus, the product of the given expression is
[tex]$$
84 x^{12}.
$$[/tex]
