Which expression is equivalent to StartRoot StartFraction 55 x Superscript 7 Baseline y Superscript 6 Baseline Over 11 x Superscript 11 Baseline y Superscript 8 Baseline EndFraction EndRoot? Assume x > 0 and y Greater-than 0. StartFraction x squared StartRoot 5 EndRoot Over y EndFraction StartFraction y StartRoot 5 EndRoot Over x squared EndFraction StartFraction StartRoot 5 EndRoot Over x squared y EndFraction StartFraction x StartRoot 5 EndRoot Over y EndFraction

The expression that is equivalent to the equation above is

Given the expression:

To solve this expression, we will use the law of indices as shown:

Applying these laws to the equation above;

Also , therefore;

Therefore the expression that is equivalent to the equation above is

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The simplified form of the given expression is   and this can be determined by using the arithmetic operations.

Given :

Expression  --  

The following steps can be used in order to evaluate the given expression:

Step 1 - The arithmetic operations can be used in order to evaluate the given expression.

Step 2 - Write the given expression.

Step 3 - Simplify the above expression.

Step 4 - Divide 55 by 11 in the above expression.

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