Given:
\(\displaystyle{\left(\frac{{1}}{{3}}\right)}{9}^{{3}}\)

Let us first evaluate the third power of 9, which is equal to \(\displaystyle{9}^{{3}}={9}\cdot{9}\cdot{9}={729}.\)

\(\displaystyle={\left(\frac{{1}}{{3}}\right)}{729}\)

Next, we need to determine one third of 729, which is equvalent to dividing 729 by 3. \(\displaystyle=\frac{{729}}{{3}}\)

Finally, dividing 729 by 3 results in 243:

=243

Let us first evaluate the third power of 9, which is equal to \(\displaystyle{9}^{{3}}={9}\cdot{9}\cdot{9}={729}.\)

\(\displaystyle={\left(\frac{{1}}{{3}}\right)}{729}\)

Next, we need to determine one third of 729, which is equvalent to dividing 729 by 3. \(\displaystyle=\frac{{729}}{{3}}\)

Finally, dividing 729 by 3 results in 243:

=243