Answer:
11yz² and when evaluating we get 22528
Step-by-step explanation:
We have the expression [tex]11\sqrt{y^{2}z^{4} }[/tex]
We know that a square root is a 1/2 exponent, so we're going to multiply the exponents of y and z by 1/2.
[tex]11\sqrt{y^{2}z^{4} }= 11y^{2(1/2)}z^{4(1/2)} } =11yz^{2}[/tex]
Therefore the expression is rewritten as [tex]11yz^2[/tex]
Now we're going to evaluate this expression for y = 8 and z = 16
[tex]11yz^{2} =11(8)(16)^2=88(256)=22528[/tex]
Thus, when evaluated the result is 22528
