# Don't do it the long way

Algebra Level 3

What is the correct order of these expressions, from smallest to largest?

• $$\large 3^{3^4}$$

• $$\large 3^{4^3}$$

• $$\large 3^{4^4}$$

• $$\large 4^{3^3}$$

• $$\large 4^{3^4}$$

Give your answer as the number of the smallest, followed by second smallest, and so on until the largest.