Question

What is 1/1/x?

Answer 1

x

Answer 2

1-over-anything is the reciprocal of that 'anything.'

Answer 3

depends if you have

\[\frac{1}{1/x}\]

or \[\frac{1/1}{x}\]

Answer 4

I assume it is the first not the second

Answer 5

Explanation... please recall that we define exponent rules so they have the following properties:
\[
(x^a)^b=x^{ab}
\]Thus:
\[
\frac{1}{x}=x^{-1}\implies\frac{1}{\frac{1}{x}}=\frac{1}{x^{-1}}=(x^{-1})^{-1}=x^{(-1)(-1)}=x^1=x
\]

Answer 6

if you don't specify then for 1/1/x the division is done from left to right 1/1 first..then divide by x

Answer 7

Yes, but, the one stated is a trivial question in comparison to the other, so I'd imagine it'd be otherwise.

Answer 8

then the OP should have typed 1/(1/x) ;)

Answer 9

Ah, semantics, semantics. But, true enough.

Answer 10

Parentheses, parentheses, my kingdom for more parentheses!