Question

Find the product of the expression: (5p^3) (-1m^8p^2)

Answer 1

Answer:

We conclude that:

• $\left(5p^3\right)\:\left(-1m^8p^2\right)=-5p^5m^8$

Step-by-step explanation:

Given the expression

$\left(5p^3\right)\:\left(-1m^8p^2\right)$

Apply the rule:

$a\left(-b\right)=-ab$

so the expression becomes

$\left(5p^3\right)\left(-1\cdot \:m^8p^2\right)=-5p^3\cdot \:1\cdot \:m^8p^2$

Apply the rule:

$a^b\cdot \:a^c=a^{b+c}$

so the expression becomes

                             $=-5p^{3+2}\cdot \:1\cdot \:m^8$         ∵ $p^3p^2=p^{3+2}$

                             $=-5p^5\cdot \:1\cdot \:m^8$

                             $=-5p^5m^8$

Therefore, we conclude that:

• $\left(5p^3\right)\:\left(-1m^8p^2\right)=-5p^5m^8$