Which of the law does not stand true ?

\frac{a^{m}}{a^{n}} = a^{m - n}

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{(\frac{a^{m}}{a^{n}})}^{x} = \frac{a^{m x}}{a^{n x}}

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\frac{a^{m}}{b^{m}} = {(\frac{a}{b})}^{m}

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\frac{a^{m}}{a^{m}} = a^{m}

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Solution

The correct option is C $\frac{a^{m}}{a^{m}} = a^{m}$
$\frac{a^{m}}{a^{m}} = 1$
$∴ \frac{a^{m}}{a^{m}} \neq a^{m}$

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