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Exponents with Like Bases

Rakesh solved...

Question

Rakesh solved some problems of exponents in the following way. Do you agree with the solutions? If not why? Justify your argument.
$3 x^{- 1} = \frac{1}{3 x}$

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Solution

No, I do not agree with the Rakesh
By Theory of equations,3We know that :

$3 x - 1 = \frac{3}{x} = L H S$ (1)

$R H S = 3 x$ __ (2)

Hence clearly $L H S \neq R H S$

Hence proved

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