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The set of functions from a set $X$ to a set $Y$ is denoted $Y^X$.

Now a question about precedence of operations:

Should I write $X^{(Y^Z)}$ or $X^{Y^Z}$ is enough?

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    See [Exponents Order of Operation](http://math.stackexchange.com/questions/21784/exponents-order-of-operation)2013-08-24

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Always, always, always be clear with this order of operations.

$2^{2^{2^2}}$ could equal 256 or 16536 depending on the order.

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    It depends on the order, but the order is defined: http://math.stac$k$exchange.com/a/21786/464302013-08-24