Question

Rakesh has solved some problem of exponents in the following way.

${\left(x^2\right)}^3=x^{2^3}=x^8$

Tick on correct option for given solution.

• A. True
• B. False

Answer 1

The correct option is B False

No, I do not agree with solution provided by Rakesh

By theory of exponents, we know that

$(x^a{)}^b=x^{ab}$

$\therefore (x^2{)}^3=x^{2\times 3}=x^6\ne x^8$

Hence proved.