Answer: [tex]r^\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sqrt[44]{\frac{r^5}{r^-^6} }[/tex]
When dividing by the same base (r) subtract exponents.
[tex]\sqrt[44]{r^5^-^(^-^6^)}[/tex]
[tex]\sqrt[44]{r^5^+^6}[/tex]
[tex]\sqrt[44]{r^1^1}[/tex]
A property of the roots say:
[tex]\sqrt[n]{x^m}=x^\frac{m}{n}[/tex]
Therefore;
[tex]\sqrt[44]{r^1^1}=r^\frac{11}{44}=r^\frac{1}{4}[/tex]
