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# Negative & Fractional Indices watch

1. Why is I know that

I understand that a number can be turned into a fraction via this rule, but I don't understand why a fraction can become a whole number because of .

I can see that it is effectively the inverse function, but I don't understand exactly what is happening to the fraction to convert it back into a whole number.
2. (Original post by Illidan2)
Why is I know that

I understand that a number can be turned into a fraction via this rule, but I don't understand why a fraction can become a whole number because of .

I can see that it is effectively the inverse function, but I don't understand exactly what is happening to the fraction to convert it back into a whole number.
If you divide 1 by a fraction then the fraction flips:

So in this case:

3. Ahh, I see! Thank you again!
4. By having a negative indice, you are dividing something by 1/(the denominator of the indice), hence, if you have (1/16)^-1, you are basically doing (1/16) / (1/1). The rules of dividing fractions states that you must flip the first fraction (so it becomes 16/1) and then the divide sign becomes a multiply, so it's (16/1 * 1/1), which is just 16

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