An expression is shown below. What is the product of the two factors ?
![An expression is shown below What is the product of the two factors class=](https://us-static.z-dn.net/files/db9/cecbd8f8eac79906bfea288e4f8279c5.png)
Answer: The required product is [tex]x^2.[/tex]
Step-by-step explanation: We are given to find the product of the following two factors.
[tex]P=(x^\frac{4}{3})(x^\frac{2}{3}).[/tex]
We will be using the following property of exponents:
[tex]a^x\times a^y=a^{x+y}.[/tex]
We have
[tex]P\\\\=(x^\frac{4}{3})(x^\frac{2}{3})\\\\=x^\frac{4+2}{3}\\\\=x^\frac{6}{3}\\\\=x^2.[/tex]
Thus, the required product is [tex]x^2.[/tex]