Question

Write the missing exponent. 1/169 = (1/13)

Answer 1

Answer is 2 because 13 times 13 is 169

Answer 2

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.