Write as a monomial in standard form: (−4x^2ya^3)^2

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03-01-2020
Mathematics

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Write as a monomial in standard form: (−4x^2ya^3)^2

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gmany gmany · Answer 1 · 2020-01-03T22:10:29+01:00

gmany gmany

03-01-2020

Answer:

[tex]\large\boxed{16a^6x^4y^2}[/tex]

Step-by-step explanation:

[tex]\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\=====================\\\\\left(-4x^2ya^3\right)^2=\\\\=(-4)^2(x^2)^2(y)^2(a^3)^2\\\\=(-4)(-4)x^{2\cdot2}y^2a^{3\cdot2}\\\\=16x^4y^2a^6[/tex]

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