Indices Exponential Graphs Compound Interest

a^m x aⁿ

a^m+n : multiply coefficients and add indices

a^m/aⁿ

a^m-n: top indice take bottom indice

(a^m)ⁿ

a^mn: multiply indices and leave bases in original form

(ab)^m or (a/b)^m

a^mb^m or a^m/b^m: distribute ‘m’ to all values and when there are multiply unknown values, square coefficient

a⁰

1: 0 only applies to indices unless term is in bracket

a^-n or aⁿ

1/aⁿ or 1/a^-n: signs reciprocates and indices must be +ve for final answer

general rules

coefficients and indices overall have to be positive for final answer

can only cancel same values with same indices