Answer :
To simplify the expression
[tex]$$
(4x)(-3x^8)(-7x^3),
$$[/tex]
follow these steps:
1. Multiply the numerical coefficients:
[tex]$$
4 \times (-3) = -12,
$$[/tex]
then
[tex]$$
-12 \times (-7) = 84.
$$[/tex]
2. Multiply the powers of [tex]$x$[/tex] by adding their exponents. Recall that when multiplying terms with the same base, you add the exponents:
[tex]$$
x^1 \times x^8 \times x^3 = x^{1+8+3} = x^{12}.
$$[/tex]
3. Combine the coefficient and the [tex]$x$[/tex] term:
[tex]$$
84 \cdot x^{12}.
$$[/tex]
Thus, the product is
[tex]$$
\boxed{84x^{12}}.
$$[/tex]
[tex]$$
(4x)(-3x^8)(-7x^3),
$$[/tex]
follow these steps:
1. Multiply the numerical coefficients:
[tex]$$
4 \times (-3) = -12,
$$[/tex]
then
[tex]$$
-12 \times (-7) = 84.
$$[/tex]
2. Multiply the powers of [tex]$x$[/tex] by adding their exponents. Recall that when multiplying terms with the same base, you add the exponents:
[tex]$$
x^1 \times x^8 \times x^3 = x^{1+8+3} = x^{12}.
$$[/tex]
3. Combine the coefficient and the [tex]$x$[/tex] term:
[tex]$$
84 \cdot x^{12}.
$$[/tex]
Thus, the product is
[tex]$$
\boxed{84x^{12}}.
$$[/tex]
