Question

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

Answer 1

We conclude that:

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

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`