Which expression is equivalent to [tex](m^8\times n^-4)^ 1/4[/tex]
Answer:
m^2/n
Step-by-step explanation:
Given.
I assume this is your expression:
The expression is [tex]=(m^{8} \times n^{-4} )^{\frac{1}{4} }[/tex]
Now simplify the expression by multiplying the power.
[tex]=(m^{8\times \frac{1}{4}} \times n^{-4\times \frac{1}{4}}} )[/tex]
[tex]=(m^{2} \times n^{-1} )[/tex]
[tex]=\frac{m^{2}}{n}[/tex]
So, the expression is equivalent to [tex]\frac{m^{2}}{n}[/tex]
