x to the one third power times x to the one third power times x to the one third power

Given:
[tex]x^{\frac{1}{3}}\times x^{\frac{1}{3}}\times x^{\frac{1}{3}}[/tex]To Determine: The simplification of the given
Solution
Given exponent rule below
[tex]a^m\times a^n=a^{m+n}[/tex]Apply the exponent rule above to the question
[tex]x^{\frac{1}{3}}\times x^{\frac{1}{3}}\times z^{\frac{1}{3}}=x^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=x^{\frac{1+1+1}{3}}=x^{\frac{3}{3}}=x^1=x[/tex]Hence, the solution is x