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Understanding Exponents

Powers

  • b^n means multiply b by itself n times
  • Negative exponents: b^-n = 1/b^n
  • Zero exponent: b^0 = 1
  • Fractional exponents: b^(1/n) = nth root of b

Roots

  • nth root is the inverse of nth power
  • Square root: n = 2
  • Cube root: n = 3
  • Even roots of negative numbers are not real

Scientific Notation

  • Format: a × 10^n
  • 1 ≤ |a| 10
  • n is an integer
  • Used for very large/small numbers