Question

Which expression is equivalent to

Answer 1

The equivalent expression of $\sqrt{\frac{128x^5y^6}{2x^7y^5}}$ is $\frac{8\sqrt y}{x}$

How to determine the equivalent expression?

The expression is given as:

$\sqrt{\frac{128x^5y^6}{2x^7y^5}}$

Divide 128 by 2

$\sqrt{\frac{64x^5y^6}{x^7y^5}}$

Apply the law of indices to the variables

$\sqrt{\frac{64y^{6-5}}{x^{7-5}}}$

Evaluate the differences

$\sqrt{\frac{64y}{x^2}}$

Take the square root of 64

$8\sqrt{\frac{y}{x^2}}$

Take the square root of x^2

$\frac{8\sqrt y}{x}$

Hence, the equivalent expression of $\sqrt{\frac{128x^5y^6}{2x^7y^5}}$ is $\frac{8\sqrt y}{x}$

Read more about equivalent expression at:

brainly.com/question/2972832

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