1) A good way to compare irrational numbers is by their approximate value. For example, let's pick two irrational numbers:
π and √2 Two irrational numbers
The value of each approximately is
3.14 and 1.41 so
3.14 > 1.41
And this principle fits for the other irrational numbers.
2) Multiplication of exponents
If we have two powers and we have to operate them, we'll proceed this way:
[tex]\begin{gathered} (a^3)^6=a^{3\cdot6}=a^{18} \\ a^3\cdot a^6=a^{3+6}=a^9 \end{gathered}[/tex]