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Indices or exponents

Suppose we have to multiply 3 hundred times and we have to write them. It will take a lot of space. If we create a notation in which we write as the following
  • 3×3 = 32
  • 3×3×3 = 33
  • 3×3×3×3 = 34
  • 3×3×3×3×3×3×3 = 37
  • Using this procedure we can multiply 3 hundred times and express it as 3100
The above notation can be written as ab = c.
a is called the base, b is called the exponent or index.

There are several laws which can be followed to simplify equations in exponents.
  • Product Law:

    •  am×an = am+n
  • Quotient Law:

    •  am/an = am-n
  • Power Law:

    •  (am)n = am×n
  • n√(am) = am/n
  • a1 = a
  • 1 = ak/ak = ak-k = a0
    So, a0 = 1, a≠0
  • a-k = a0-k = a0/ak = 1/ak, a≠0




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