Answer:
\(\frac{1^2}{13^2}=(\frac{1}{13})^{2}\)
Step-by-step explanation:
We have been given an equation \(\frac{1}{169}=(\frac{1}{13})^{*}\). We are asked to write the missing exponent for our given equation.
We can see that 169 is square of 13, so we can write left side of our equation as:
\(\frac{1}{13^2}=(\frac{1}{13})^{*}\)
We can raise 1 to any power and answer will be same.
Raising 1 to 2nd power, we will get:
\(\frac{1^2}{13^2}=(\frac{1}{13})^{*}\)
Since both numerator and denominator is raised to 2nd power, so we can raise \((\frac{1}{13})\) to 2nd power as:
\(\frac{1^2}{13^2}=(\frac{1}{13})^{2}\)
Therefore, our missing exponent is 2.
