Question

I need help understanding how to compare irrational numbers and multiplication of exponents. Can you help?

Answer 1

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:

`\begin{gathered} (a^3)^6=a^(3\cdot6)=a^(18) \\ a^3\cdot a^6=a^(3+6)=a^9 \end{gathered}`