Assignment: [tex]\bold{Simplify \ Equation: \ \left(-2a^2b\right)\left(4a^5b^2\right)}[/tex]
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Answer: [tex]\bold{-8a^7b^3}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Remove Parenthesis (a) = a
[tex]\bold{-2a^2b\cdot \:4a^5b^2}[/tex]
[ Step Two ] Multiply Numbers: [tex]\bold{2\cdot \:4=8}[/tex]
[tex]\bold{-8a^5a^2b^2b}[/tex]
[ Step Three ] Apply Exponent Rules
Note: [tex]\bold{Exponent \ Rules: \ a^b\cdot \:a^c=a^{b+c}}[/tex]
[tex]\bold{a^5a^2=\:a^{2+5}=\:a^7}[/tex]
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[tex]\bold{-8a^7b^2b}[/tex]
[ Step Four ] Apply Exponent Rule
Note: [tex]\bold{b^2b=\:b^{1+2}=\:b^3}[/tex]
[tex]\bold{-8a^7b^3}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]
