Indices (index laws)

Explanation:

Learn the four core index laws for powers with the same base: (1) Multiply → add powers: a^m × aⁿ = a^m+n;   (2) Divide → subtract powers: a^m ÷ aⁿ = a^m−n;   (3) Brackets → multiply powers: (a^m)ⁿ = a^mn;   (4) Power of zero: a⁰ = 1.

When an expression includes normal numbers (coefficients) in front of the letters, treat the numbers as normal numbers (multiply, divide, or raise them to the power) and apply the index laws to the powers!