Simplify{5(81/3 + 271/3)3}1/4

5813+2713314= 52313+3313314= 523×13+33×13314= 52+3314= 5×5314= 5414= 54×14= 5

Simplify{5(8^1/3+ 27^1/3)³}^1/4

{\{5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}\}}^{\frac{1}{4}} = {\{5 {({(2^{3})}^{\frac{1}{3}} + {(3^{3})}^{\frac{1}{3}})}^{3}\}}^{\frac{1}{4}} = {\{5 {(2^{3 \times \frac{1}{3}} + 3^{3 \times \frac{1}{3}})}^{3}\}}^{\frac{1}{4}} = {\{5 {(2 + 3)}^{3}\}}^{\frac{1}{4}} = {\{5 \times 5^{3}\}}^{\frac{1}{4}} = {\{5^{4}\}}^{\frac{1}{4}} = 5^{4 \times \frac{1}{4}} = 5