Indices provide a compact algebraic notation for repeated multiplication. For example, is it much easier to write 3^5 than 3 × 3 × 3 × 3 × 3.

https://www.youtube.com/watch?v=szBSHQGPFpc

Once index notation is introduced the index laws arise naturally when simplifying numerical and algebraic expressions. Thus the simplificiation 2^5 × 2^3 = 2^8 quickly leads
to the rule a^m × a^n = a^(m + n), for all positive integers m and n.

LAWS OF INDICES
This video explained all the laws of Indices
I. Addition Law
II. The subtraction l
III. The zero law
IV. The negative index law
V. The product law
VI. The fractional law

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