Assignment: [tex]\bold{Solve \ Equation: \ -3\left(-6+8\right)^3-2\left(1-3\right)^3}[/tex]
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Answer: [tex]\boxed{\bold{-8}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Follow PEMDAS Order Of Operations; Calculate Within Parenthesis
Note: [tex]\bold{PEMDAS: \ Parenthesis, \ Exponents, \ Multiply, \ Divide, \ Add, \ Subtract}[/tex]
[tex]\bold{-6+8: \ 2}[/tex]
[ Step Two ] Rewrite Equation
[tex]\bold{-3\cdot \:2^3-2\left(1-3\right)^3}[/tex]
[ Step Three ] Calculate Within Parenthesis
[tex]\bold{1-3: \ -2}[/tex]
[ Step Four ] Rewrite Equation
[tex]\bold{-3\cdot \:2^3-2\left(-2\right)^3}[/tex]
[ Step Five ] Calculate Exponents
[tex]\bold{2^3: \ 8}[/tex]
[ Step Six ] Rewrite Equation
[tex]\bold{-3\cdot \:8-2\left(-8\right)}[/tex]
[ Step Seven ] Multiply
[tex]\bold{2\left(-8\right): \ -16}[/tex]
[ Step Eight ] Rewrite Equation
[tex]\bold{-24-\left(-16\right)}[/tex]
[ Step Nine ] Subtract
[tex]\bold{-24-\left(-16\right): \ -8}[/tex]
[ Step Ten ] Rewrite Equation
[tex]\bold{-8}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]
