Question

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.

Answer 1

Answer:

$\displaystyle \frac{5x}{8y^{4}}\sqrt{x}$

Step-by-step explanation:

Simplfy in Algebra

We have the following expression

$\displaystyle E=\sqrt{\frac{25x^9y^3}{64x^6y^{11}}}$

Simplifying like factors in the denominator and numerator

$\displaystyle E=\sqrt{\frac{25x^3}{64y^{8}}}$

All the factors are perfect squares except $x^3$, thus we rewrite:

$\displaystyle E=\sqrt{\frac{25xx^2}{64y^{8}}}$

Taking the square root of all the perfect square factors:

$\boxed{\displaystyle E=\frac{5x}{8y^{4}}\sqrt{x}}$

Answer 2

Answer:

D On edge.

Step-by-step explanation:

Its Very Simple i Took it just now :D