Example with Roots
Here is an example where you use the power rules in combination with nth roots.
Simplify (a3 ×a23) 2
If you use the rules for roots you get that a3 = a1 3 and a23 = a2 3 . This gives you:
If you now use the rules of calculating with parentheses, you get: (a1 3 × a2 3 ) 2 = a1×2 3 × a2×2 3 = a2 3+4 3 = a6 3 = a2