Question

Rakesh solved some problems of exponents in the following way. Do you agree with the solutions? If not why? Justify your argument.
$\frac{x^3}{x^2}=x^4$

Answer 1

No, I do not agree with the solution provided by Rakesh

By theory of exponent we know that

$\frac{x^a}{x^b}=x^{a-b}$

$\therefore \frac{x^3}{x^2}=x^{3-2}=x^1=x\ne x^4$

The correct answer is $x$, which is justified above.