Answer:
[tex]\frac{1^2}{13^2}=(\frac{1}{13})^{2}[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{1}{169}=(\frac{1}{13})^{*}[/tex]. 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:
[tex]\frac{1}{13^2}=(\frac{1}{13})^{*}[/tex]
We can raise 1 to any power and answer will be same.
Raising 1 to 2nd power, we will get:
[tex]\frac{1^2}{13^2}=(\frac{1}{13})^{*}[/tex]
Since both numerator and denominator is raised to 2nd power, so we can raise [tex](\frac{1}{13})[/tex] to 2nd power as:
[tex]\frac{1^2}{13^2}=(\frac{1}{13})^{2}[/tex]
Therefore, our missing exponent is 2.
