Indices

The base \(a\) must be nonzero for zero and negative indices. In a reciprocal quotient law, both bases \(a,b\) must be nonzero.
With the definition of zero and negative indices,
\({{a}^{0}}=1\) and \({{a}^{-n}}=\frac{1}{{{a}^{n}}}\)
we can now extend all the 5 laws of indices to include all integer indices. (positive, zero and negative)

The base \(a\) must be nonzero for zero and negative indices. In a reciprocal quotient law, both bases \(a,b\) must be nonzero.

With the definition of zero and negative indices,

\({{a}^{0}}=1\) and \({{a}^{-n}}=\frac{1}{{{a}^{n}}}\)

we can now extend all the 5 laws of indices to include **all integer indices.** (positive, zero and negative)

Extension of Laws of Indices to Zero and Negative Indices

Extension of Laws of Indices to Zero and Negative Indices

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