737/729
1) Let's solve that expression with two powers.
[tex]\begin{gathered} (\frac{2}{9})^3+13^0 \\ \text{Any power raised to 0 is =1} \\ (\frac{8}{729})+1 \\ \text{LCM 1 and 729}=729 \\ \frac{\square}{729} \\ \\ \text{Let's divide 729 by 729 and multiply by 8} \\ \frac{(\frac{729}{729\text{ }}=1\text{ }\times8)}{729} \\ \frac{8}{729} \\ \frac{\frac{729}{1}=\text{ 729 x 1}}{729}=\frac{729}{729} \\ \text{Hence,} \\ \frac{8}{729}+\frac{729}{729}=\frac{737}{729} \end{gathered}[/tex]2) So the answer to that expression, considering that any number raised to 0 is equal to 1 and taking the LCM (Least Common Multiple) to turn those fractions into one with the same denominator and then sum turns out to be 737/729
