Question

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

Answer 1

The first step for finding out whether or not this expression is equivalent to $\sqrt{4}$ is to reduce the fraction with $x^{7}$. You can begin to do this by dividing the terms with the same base by subtracting their exponents.
$\frac{16 x^{11-7} y^{8} }{81 y^{6} }$
Subtract the exponents.
$\frac{16 x^{4} y^{8} }{81 y^{6} }$
Now reduce the fraction with $y^{6}$ by doing the same process. Since I just showed you how to do this,, I will skip over this.
$\frac{16 x^{4} y^{2} }{81}$
Since we cannot simplify this expression any further,, your answer is going to be $\frac{16 x^{4} y^{2} }{81}$,, which is not equivalent to $\sqrt{4}$.
Let me know if you have any further questions.
:)