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Indices and Surds Formulas

Dec 7, 2017

a (a ∈ R) is called ‘’Base’’

m, n (m, n ∈ R) are called ”Exponent/Index”

1. a^m × aⁿ = a^{m + n}

2. a^m ÷ aⁿ = a^{m – n}

3. a⁰= 1, where a ≠ 0

4. (a . b)^m= a^m × b^m

5. ( ^a⁄ b )^m = ^{a^m}⁄ b^m

6. (a^m)ⁿ = (aⁿ)^m = a^{m × n} [ Note : (a^m)ⁿ ≠ (a^mⁿ) ]
7. a^−m = ¹⁄ a^m

8. If a^m = b^m, then a = b

9. If a^m = aⁿ, then m = n

10. √a = a^1/2

11. ∛a= a^1/3

12. If a^m = b, then we can write it as a = b^¹⁄m

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