was ist (3x hoch 2 y) hoch 2

$${\left({\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)} = {{\mathtt{3}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}$$        ;    $$\left({\left({{\mathtt{3}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}\right)}^{{\mathtt{2}}}\right)$$ =  $${{\mathtt{3}}}^{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}$$

= $${{\mathtt{81}}}^{{\mathtt{y}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{x}}}^{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}$$

(3x hoch 2y) hoch 2 = 3 hoch 4y * x hoch 4y = 81 hoch y * x hoch 4y

Gruß radix !