Answer:
Final answer is [tex]x^2[/tex].
Step-by-step explanation:
Given expression is [tex]x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}[/tex]
Now we need to find about what is product of both factors.
We see that both factors are in exponent form having equal base "x".
So we can apply formula: [tex]x^m\cdot x^n=x^{\left(m+n\right)}[/tex]
[tex]x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}[/tex]
[tex]=x^{\left(\frac{4}{3}+\frac{2}{3}\right)}[/tex]
[tex]=x^{\left(\frac{4+2}{3}\right)}[/tex]
[tex]=x^{\left(\frac{6}{3}\right)}[/tex]
[tex]=x^2[/tex]
Hence final answer is [tex]x^2[/tex].
