Indices rules

  • Created by: Lizzi777
  • Created on: 23-05-18 17:04
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  • Indices Rules
    • a^m × a^n = a^(m+n)
      • times: add the powers
    • a^m ÷ a^n = a^(m-n)
      • Divide: subtract the powers
      • Only when base number is the same
        • a^m × a^n = a^(m+n)
          • times: add the powers
        • Divide: subtract the powers
    • (a^m)^n =    a^mn
      • When raising a power to a power: times the powers
    • a^0 = 1
      • a^1=a
    • a^(?m) = 1/a^m
      • When raising a number to a negative power: the reciprocal of the number to the power of the index.
    • a^(p/q)=(q?a)^p
      • Raising a number to a fraction: the denominator becomes the "root" and the numerator becomes the "power"
        • a^(1/q) = q?a
          • Indices Rules
            • a^m ÷ a^n = a^(m-n)
              • Only when base number is the same
              • (a^m)^n =    a^mn
                • When raising a power to a power: times the powers
              • a^0 = 1
                • a^1=a
              • a^(?m) = 1/a^m
                • When raising a number to a negative power: the reciprocal of the number to the power of the index.
              • a^(p/q)=(q?a)^p
                • Raising a number to a fraction: the denominator becomes the "root" and the numerator becomes the "power"
                  • a^(1/q) = q?a

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