Question

Fill in the blanks to make the statement true: $729=3^{---}$.

Answer 1

Compute the power:

We can write that

$\begin{array}{rcl}729& =& 81\times 9\\ & =& 9\times 9\times 3\times 3\\ & =& 3\times 3\times 3\times 3\times 3\times 3\\ & =& 3^6\end{array}$

Hence, the required statement is $729=3^{6^{}}$.