Question

Which expression is equivalent to (x^4/3 x^2/3)​

Answer 1

`x^(4)/(3)x^ (2)/(3)=x^{(4)/(3)+(2)/(3)}=x^{(16)/(12)+(8)/(12)}=x^(24)/(12)=x^2`

Explanation:

The expression
`x^(4)/(3)x^ (2)/(3)` can be reduced using the exponent rule for multiplying same bases - add the exponents. Since the are fractions, find a common denominator - 12.

`x^(4)/(3)x^ (2)/(3)=x^{(4)/(3)+(2)/(3)}=x^{(16)/(12)+(8)/(12)}=x^(24)/(12)=x^2`