$${243}^{\frac{1}{5}}-{\left(\frac{1}{81}\right)}^{\frac{1}{4}}+{\left(92+7,5\right)}^0+{\left(9^{\frac{7}{8}}:3^{\frac{5}{4}}\right)}^4$$

$$={\left(3^5\right)}^{\frac{1}{5}}-{\left(\frac{1}{3^4}\right)}^{\frac{1}{4}}+{\left(92+7,5\right)}^0+{\left[{\left(3^2\right)}^{\frac{7}{8}}:3^{\frac{5}{4}}\right]}^4$$

$$=3^{\frac{5}{5}}-\frac{1^{{\displaystyle \frac{1}{4}}}}{3^{{\displaystyle \frac{4}{4}}}}+1+{\left(3^{\frac{14}{8}}·3^{-\frac{5}{4}}\right)}^4$$

$$=3-\frac{1}{3}+1+{\left[3^{\frac{14}{8}-\frac{5}{4}}\right]}^4$$

$$=3-\frac{1}{3}+1+{\left(3^{\frac{14-2·5}{8}}\right)}^4$$

$$=4-\frac{1}{3}+{\left(3^{\frac{4}{8}}\right)}^4$$

$$=3-\frac{1}{3}+1+3^{\frac{16}{8}}$$