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Whether $x^{y^{z}}$ should be considered as $x^{\left ( y^{z} \right )}$ or $\left ( x^{y} \right )^{z}$, without any context?
If any one among these two is default consideration?

$\left ( x^{y} \right )^{z}$ appears more natural to me, but my calculator does it other way.

Romy
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    Why? $(x^y)^z$ is the same as $(x^{yz})$ – adjan Dec 21 '15 at 08:28
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    If no particular parenthesis is given, you should consider this as $x^{(y^z)}$, you can recall the Fermat's number i.e. $2^{2^n}+1$, here no parenthesis is assigned. –  Dec 21 '15 at 08:33

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The usual convention is $x^{y^z} = x^{(y^z)}$ because if you want $(x^y)^z$ the equivalent expression $x^{yz}$ is simpler (no parenthesis required).

Martín-Blas Pérez Pinilla
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