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  • Laws of Indices


    \begin{aligned}
    i).& a^m \times a^n = a^{m+n} \\
    ii).& \frac{a^m}{a^n} = a^{m-n} \\
    iii).& (a^m)^n = a^{mn} \\
    iv).& (ab)^n = a^n b^n \\
    v).& \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \\
    vi).& a^0 = 1 \\

    \end{aligned}