Question

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

Answer 1

Answer is 2 because 13 times 13 is 169

Answer 2

`(1^2)/(13^2)=((1)/(13))^(2)`

Explanation:

We have been given an equation
`(1)/(169)=((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:

`(1)/(13^2)=((1)/(13))^(*)`

We can raise 1 to any power and answer will be same.

Raising 1 to 2nd power, we will get:

`(1^2)/(13^2)=((1)/(13))^(*)`

Since both numerator and denominator is raised to 2nd power, so we can raise
`((1)/(13))` to 2nd power as:

`(1^2)/(13^2)=((1)/(13))^(2)`

Therefore, our missing exponent is 2.