To simplify or represent the algebraic expression [tex]\( 4 x^7 y^3 \)[/tex], we need to consider the following components:
1. Numerical Coefficient: The number [tex]\( 4 \)[/tex] is the constant multiplier in front of the variables.
2. Variables with Exponents:
- [tex]\( x^7 \)[/tex]: [tex]\( x \)[/tex] is raised to the 7th power.
- [tex]\( y^3 \)[/tex]: [tex]\( y \)[/tex] is raised to the 3rd power.
The expression combines these components into a single term, where [tex]\( x \)[/tex] and [tex]\( y \)[/tex] are multiplied by each other, each raised to their respective powers, and the result is multiplied by the coefficient 4.
Thus, the given algebraic expression represents the multiplication of 4 by [tex]\( x \)[/tex] raised to the 7th power and [tex]\( y \)[/tex] raised to the 3rd power.
[tex]\[
4 x^7 y^3
\][/tex]
So, the result is:
[tex]\[
4 x^7 y^3
\][/tex]
