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

Sagot :

absor201

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]
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