How to use it
- For same base, add exponents when multiplying and subtract when dividing.
- Multiply exponents for a power of a power.
- Treat zero and negative exponents by their definitions.
See it in action
x³·x⁵=x⁸; (x³)²=x⁶; x⁻²=1/x² for x≠0.
How to verify it
Pick x=2 and verify numerically.
Common mistake
Rules such as (a+b)²=a²+b² are false; expand sums separately.