Sun. Oct 1st, 2023

Indices and Surds Formulas

Indices and Surds Formulas

Indices and Surds Formulas

(a ∈ R) is called ‘’Base’’

m, n (m, n ∈ R) are called ”Exponent/Index”
 
1. am × an = am + n
2. am ÷ an = am – n
3. a= 1, where a ≠ 0
4. (a . b)= am × bm
5. ( a⁄ b )m = am⁄ bm 
6. (am)n = (an)m = am × n     [ Note :  (am)n ≠ (a^mn) ]
7. am 1⁄ am
8. If am = bm, then a = b
9. If am = an, then m = n
10. √a = a1/2
11. ∛a= a1/3
12. If am = b, then we can write it as a = b1⁄m

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