Question

Can someone help me with this question? Whoever helps will get brainliest answer. thank you.

Answer 1

Answer:

Final answer is $x^2$.

Step-by-step explanation:

Given expression is $x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}$

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: $x^m\cdot x^n=x^{\left(m+n\right)}$

$x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}$

$=x^{\left(\frac{4}{3}+\frac{2}{3}\right)}$

$=x^{\left(\frac{4+2}{3}\right)}$

$=x^{\left(\frac{6}{3}\right)}$

$=x^2$

Hence final answer is $x^2$.