Rewrite without rational exponents, and simplify, if possible..

(x^4y^4) ^1/3

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25-07-2014
Mathematics

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Rewrite without rational exponents, and simplify, if possible..

(x^4y^4) ^1/3

Sagot :

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Simplify.[tex]\[ \frac{a^4 B^3}{a^5 B^2} \][/tex]

AL2006idn AL2006idn · Answer 1 · 2014-07-26T00:21:38-04:00

AL2006idn AL2006idn

26-07-2014

That would become (XY)^4/3 . The exponent is still rational. Sorry.

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Анонимidn Анонимidn · Answer 2 · 2014-07-26T05:12:59-04:00

Анонимidn Анонимidn

26-07-2014

[tex]\left(x^4y^4\right)^\frac{1}{3}=x^{4\cdot\frac{1}{3}}y^{4\cdot\frac{1}{3}}=x^\frac{4}{3}y^\frac{4}{3}=x^{1\frac{1}{3}}y^{1\frac{1}{3}}=x^{1+\frac{1}{3}}y^{1+\frac{1}{3}}=x^1x^\frac{1}{3}y^1y^\frac{1}{3}\\\\=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}[/tex]

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