"They are nothing but numbers with flying numeric powers!" said the maths teacher.
Here I move forward explaining the details of Indices.
Sit back and relax.......
Format of Indices is ax = y.
NOTE: The power "x" should be written small.
There are three basic Laws of Indices:
1) Product Law of Indices
an x am = a (n + m)
Example: a3 x a2 = a 5
2) Quotient Law of Indices
an / am = a(n-m)
Example: a7 / a2 = a(7-2) = a5
3) Power Law of Indices
(an)m = anm
Example: (a2)4 = a8
(a / b)n = an / bn
Example: (K / Y)2 = K2 / Y2
The above are Laws that any maths students must know. However, these laws also produce sub-laws (special laws) from them. See below.
Special Laws of Indices:
- a0 = 1
- 1 / an = a-n
The 2 special laws stated above are nothing new. They only have their variable replaced with the number 0, and 1 to extract commonly used operation.
:-)
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5 comments:
good site, although i needed four basic indices
nicely explained! please try to give detailed explanation for 'Special Laws of Indices'.
:)
wow, i never once needed help with math till this moment, very nice site, it really helped me understand what i didnt, thank yovery much.
what about fractional indices??
Fractional indices involve "roots" of a variable.
If the index is "half" or (1/2), the operation is square root of the variable.
If the index is (1/3), the operation is cube root of the variable.
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