Respuesta :

Answer:

[tex]= \frac{2m^2n^8}{3}[/tex]

Step-by-step explanation:

Given expression is

[tex](\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}[/tex]

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift [tex]m^{-6}[/tex] to the numerator and we will use the negative exponent rule, that is

[tex]= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}[/tex]

now we will shift the [tex]n^{-8}[/tex] to the numerator and we will use the negative exponent rule, that is

[tex]= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}[/tex]

here we will solve the above equation which is shown below

[tex]= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}[/tex]

So,

[tex]= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}[/tex]

Which gives result

[tex]= \frac{2m^2n^8}{3}[/tex]

ACCESS MORE
EDU ACCESS