1. ## Indices Question

A very good day to everyone. I have a perplexing question here:

$\displaystyle 13^-1 = 0.076923$. Without using a calculator, express 6 as a percentage of 26 to 3 places after the decimal.

I know that $\displaystyle 13^-1$ can be morphed into $\displaystyle \dfrac{1}{13}$, but how can it be applied to solve this question?

Any help is appreciated. Thank you so much!

2. Divide 1 by 13.

3. Originally Posted by PythagorasNeophyte
A very good day to everyone. I have a perplexing question here:

$\displaystyle 13^-1 = 0.076923$. Without using a calculator, express 6 as a percentage of 26 to 3 places after the decimal.

I know that $\displaystyle 13^-1$ can be morphed into $\displaystyle \dfrac{1}{13}$, but how can it be applied to solve this question?

Any help is appreciated. Thank you so much!
Prove It told you how to get $\displaystyle 13^{-1}$. If you mean "Given that $\displaystyle 13^{-1}= 0.076923$, express 6 as a percentage of 26", recall that $\displaystyle \frac{6}{26}= \frac{3}{13}= 3(13^{-1})$. Just multiply 3 and 0.076923.