Answer:
The answer is [tex]\frac{1}{13}[/tex]
Step-by-step explanation:
In order to determine the simplified form, we have to change the number inside of square root. We need to find a number with an exponent that represents the same number that is inside of the root.
Then, we have to use the rules of the powers and the rules of the roots.
[tex]\sqrt{\frac{1}{169} } \\\sqrt{\frac{1}{(13)^2} }\\\sqrt{(\frac{1}{(13)})^2 }\\\frac{1}{13}[/tex]
Finally, the answer is [tex]\frac{1}{13}[/tex]
The procedure to extract a number from a root is finding an expression of a number with a power, and that power has to be a multiple of the grade of the root.
