Question

Which of the following is equal to x2?

Answer 1

answer = c

$( \sqrt{x3)2 \div 3 }$

root and base 3 canceled

x2

Answer 2

Given:

(Note : There should be x in place of x2.)

Which of the following is equal to $\[{x}\]$.

Solution:

Take option (a),

$\[\begin{array}{l} = {x^{\frac{{12}}{7}}} - {x^{\frac{5}{7}}}\\ = {x^{\frac{1}{7}}}\left( {{x^{12}} - {x^5}} \right)\end{array}\]$

Take option (b),

$\[ = \sqrt[{12}]{{{{\left( {{x^4}} \right)}^{\frac{1}{3}}}}}\]$

$\[ = {x^{4 \times \frac{1}{3} \times \frac{1}{{12}}}}\]$

$\[ = {x^{\frac{1}{9}}}\]$

Take option (c),

$\[ = {\left( {\sqrt {{x^3}} } \right)^{\frac{2}{3}}}\]$

$\[ = {x^{\frac{3}{2} \times \frac{2}{3}}}\]$

$\[ = x\]$

Take option (d),

$\[ = {x^{\frac{2}{4} \times \frac{6}{4}}}\]$

$\[ = {x^{\frac{3}{4}}}\]$

Hence, the correct option is (c).