Answer:
We conclude that:
- [tex]\left(5p^3\right)\:\left(-1m^8p^2\right)=-5p^5m^8[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(5p^3\right)\:\left(-1m^8p^2\right)[/tex]
Apply the rule:
[tex]a\left(-b\right)=-ab[/tex]
so the expression becomes
[tex]\left(5p^3\right)\left(-1\cdot \:m^8p^2\right)=-5p^3\cdot \:1\cdot \:m^8p^2[/tex]
Apply the rule:
[tex]a^b\cdot \:a^c=a^{b+c}[/tex]
so the expression becomes
[tex]=-5p^{3+2}\cdot \:1\cdot \:m^8[/tex] ∵ [tex]p^3p^2=p^{3+2}[/tex]
[tex]=-5p^5\cdot \:1\cdot \:m^8[/tex]
[tex]=-5p^5m^8[/tex]
Therefore, we conclude that:
- [tex]\left(5p^3\right)\:\left(-1m^8p^2\right)=-5p^5m^8[/tex]
