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← Further Multiplicative Thinking
Concept · 4 steps · NESA MA4-IND-C-01

Index Laws with Positive-integer and Zero Indices

Powers are just shorthand for "multiply this by itself a few times". Once you see that, the laws for combining them aren't rules to cram — they're things you can work out on the spot.

1Where it comes fromExpand the factors, count them, and watch each law appear on its own. 2How to do itThe four laws — product, quotient, power-of-a-power, zero — with a practice generator. 3Where it gets trickySame base only, add vs multiply, a⁰ = 1 not 0, and those coefficients out front. 4Out in the wildPowers of ten, a peek at scientific notation, and working backwards to a missing index.
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