Which expression is equivalent to 4 sqrt 16x^11y^8/81x^7y^6

The first step for finding out whether or not this expression is equivalent to  is to reduce the fraction with . You can begin to do this by dividing the terms with the same base by subtracting their exponents.

Subtract the exponents.

Now reduce the fraction with  by doing the same process. Since I just showed you how to do this,, I will skip over this.

Since we cannot simplify this expression any further,, your answer is going to be ,, which is not equivalent to .
Let me know if you have any further questions.
:)