We have the following general rule for exponents:
[tex]a^n\cdot a^m=a^{n+m}[/tex]In this case, we can use the commutative property to multiply each factor with their respective common term. Then, we have the following:
[tex]5x^3\cdot2x^2=(5\cdot2)(x^3\cdot x^2)=10x^{3+2}=10x^5[/tex]therefore, the final expression is 10x⁵
