Powers

Laws of exponents are

  1. (a^m × a^n) = (a^{m+n})
  2. (a^m ÷ a^n) = (a^{m-n})
  3. ((a^m)^n) = (a^{mn})
  4. (a° = 1), where a ≠ 0
  5. (a^m over b^m) = (({a over b})^m)

Some Important Facts

Multiplicative inverse of (a^b) is (1 over a^{-b})

Multiplicative inverse of (a over b) is (b over a) = ({left (a over b right)}^{-1})

(Standard ) form (also called as (scientific ) notation form) is (a times 10^b), where (1 leq a < 10) and (b) is an integer

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