Algebra › Section H · Roots and radicals › Topic H.3

Rational exponents

A root is an exponent wearing a disguise. Once you can read the costume - denominator for index, numerator for power - every exponent rule you already own starts working on radicals for free.

In this topic

  • The costume, decoded
  • Powers of roots: a to the m/n
  • Worked example: evaluating rational powers
  • Negative rational exponents
  • Which form should you work in?
  • The whole point: exponent rules on roots
  • Worked example: combining across indexes
  • Worked example: a power of a product
  • Common mistakes to avoid
  • Key takeaways

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