SURDS AND INDICES -> IMPORTANT FACTS AND FORMULAE
1. | LAWS OF INDICES : |
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(i) am * an = am + n | |
(ii) am / an = am - n | |
(iii) (am)n = amn | |
(iv) (ab)n = anbn | |
(v) (a/b)n = an/ bn | |
(vi) a0 = 1 | |
2. | SURDS : Let a be rational number and n be a positive integer such that a(1/n) = n√a |
3 | LAWS OF SURDS : |
(i) n√a = a (1/n) | |
(ii) n√ab = n√a x n√b | |
(iii) n√a/b = n√a / n√b | |
(iv) (n√a)n = a |