Master the rules of exponents for algebra and beyond.
Product rule: a^m × a^n = a^(m+n).
Power rule: (a^m)^n = a^(mn).
Zero exponent: a^0 = 1.
This tool is most valuable when you need a result to compare against something else: a quoted figure, a competing option, or a budget threshold. Accurate comparisons require accurate inputs and arithmetic — this calculator ensures both.
A common mistake is applying the formula in the wrong direction — particularly with percentage and ratio problems, where the part and the whole can be mistakenly swapped. Check which value is the reference (the 'whole') before entering inputs.
A shopper sees two versions of the same product at different prices: one at £14.50 for 400g and another at £11.99 for 300g. Running both price-per-gram calculations reveals the larger pack is 7% cheaper per unit — the kind of comparison that is impossible to do reliably in your head at the shelf.
a^(-n) = 1/a^n. Example: 2^(-3) = 1/8.
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