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Which expression is equivalent to StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Superscript 6 Baseline y Superscript 11 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y > 0.

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Answer:

[tex]\displaystyle \frac{5x}{8y^{4}}\sqrt{x}[/tex]

Step-by-step explanation:

Simplfy in Algebra

We have the following expression

[tex]\displaystyle E=\sqrt{\frac{25x^9y^3}{64x^6y^{11}}}[/tex]

Simplifying like factors in the denominator and numerator

[tex]\displaystyle E=\sqrt{\frac{25x^3}{64y^{8}}}[/tex]

All the factors are perfect squares except [tex]x^3[/tex], thus we rewrite:

[tex]\displaystyle E=\sqrt{\frac{25xx^2}{64y^{8}}}[/tex]

Taking the square root of all the perfect square factors:

[tex]\boxed{\displaystyle E=\frac{5x}{8y^{4}}\sqrt{x}}[/tex]

Answer:

D On edge.

Step-by-step explanation:

Its Very Simple i Took it just now :D