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Rational exponents

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Useful for: MCR3U MCF3M IB Math AA SL & HL

Learn it x^(1/n) is the nth root of x, and x^(m/n) = (ⁿ√x)ᵐ. A negative exponent means the reciprocal. Take the root first to keep numbers small.

Example: Evaluate 27^(−2/3).

  1. ∛27 = 3, then 3² = 9.
  2. Negative exponent: 1/9.

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