Power Formulas

Posted In: Mathematics

Bases (positive real numbers): a,b
Powers (rational numbers): m,n

  1. $a^ma^n=a^{m+n}$
  2. $a^m/a^n=a^{m-n}=1/{a^{n-m}}$
  3. $(ab)^m=a^mb^m$
  4. $(a/b)^m={a^m}/{b^m}$
  5. $(a^m)^n=a^{mn}$
  6. $a^0=1, a≠0$
  7. $a^1=1$
  8. $a^{-1}=1/{a^m}$
  9. $a^{m/n}=√^n{a^m}$

Post Tags: Algebra


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