Answer :
We start by multiplying the numerical coefficients and the powers of [tex]\( x \)[/tex] separately.
1. Multiply the coefficients:
[tex]\[
4 \times (-3) \times (-7) = 84.
\][/tex]
2. Multiply the [tex]\( x \)[/tex] terms using the property of exponents, namely [tex]\( x^a \times x^b = x^{a+b} \)[/tex]. The exponents are:
[tex]\[
1 \, (\text{from } x), \quad 8 \, (\text{from } x^8), \quad 3 \, (\text{from } x^3),
\][/tex]
so:
[tex]\[
1 + 8 + 3 = 12.
\][/tex]
Therefore, the variable part is:
[tex]\[
x^{12}.
\][/tex]
3. Combining these results, the product is:
[tex]\[
84x^{12}.
\][/tex]
Thus, the final answer is [tex]\( \boxed{84x^{12}} \)[/tex].
1. Multiply the coefficients:
[tex]\[
4 \times (-3) \times (-7) = 84.
\][/tex]
2. Multiply the [tex]\( x \)[/tex] terms using the property of exponents, namely [tex]\( x^a \times x^b = x^{a+b} \)[/tex]. The exponents are:
[tex]\[
1 \, (\text{from } x), \quad 8 \, (\text{from } x^8), \quad 3 \, (\text{from } x^3),
\][/tex]
so:
[tex]\[
1 + 8 + 3 = 12.
\][/tex]
Therefore, the variable part is:
[tex]\[
x^{12}.
\][/tex]
3. Combining these results, the product is:
[tex]\[
84x^{12}.
\][/tex]
Thus, the final answer is [tex]\( \boxed{84x^{12}} \)[/tex].
