Laws of Indices

The 8 laws of indices, with examples.

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  • Laws of Indices
    • x^a/b = 'the b root' of x^a
      • x^3/2 = the square root of x^3
    • (x^a)^b = x^ab
      • (x^4)^3 = x^12
    • x^1/a = 'the a root' of x
      • x^1/3 = the cube root of x
    • x^a/x^b = x^a-b
      • x^6/x^2 = x^4
    • x^1 = x
      • 3^1 =3       12^1 = 12   2357^1 = 2357
    • x^0 = 1
      • 4^0 =1  2^0 = 1  1754^0 = 1
    • x^-a = 1/x^a
      • x^-2 = 1/x^2
    • x^a(x^b) = x^a+b
      • x^2(x^4) = x^6

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