WatermelonTalk WatermelonTalk

21-07-2017
Mathematics

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Simplify 5x(3[tex] x^{4} [/tex]y)³ . Give a written explanation of how you simplified

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konrad509 konrad509

21-07-2017

[tex]5x(3 x^{4} y)^3=5x\cdot 27x^{12}y^3=135x^{13}y^3[/tex]

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apologiabiology apologiabiology

21-07-2017

exlanation
remember

[tex](ab)^c=(a^c)(b^c)[/tex]
and
[tex](x^m)^n=x^{mn}[/tex]
and
[tex](x^m)(x^n)=x^{m+n}[/tex]

so

[tex]5x(3x^4y)^3=5x(3^3)((x^4)^3)(y^3)=5x(27)(x^{12})(y^3)=135x^{13}y^3[/tex]

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