Question

Apply all relevant properties of

Answer 1

Recall that, when two terms are being multiplied and they have the same number we can add the exponents:

`x^nx^m=x^(n+m).`

Applying the above property to the given expressions, we get:

`\begin{gathered} 6^{(9)/(5)}6^{(1)/(5)}=6^{(9)/(5)+(1)/(5)}, \\ x^{(10)/(3)}x^{(11)/(3)}=x^{(10)/(3)+(11)/(3)}, \\ y^{(7)/(2)}y^{(1)/(2)}=y^{(7)/(2)+(1)/(2)}. \end{gathered}`

Simplifying the above results, we get:

`\begin{gathered} 6^{(9)/(5)}6^{(1)/(5)}=6^2, \\ x^{(10)/(3)}x^{(11)/(3)}=x^7, \\ y^{(7)/(2)}y^{(1)/(2)}=y^4. \end{gathered}`

Answer:

`\begin{gathered} 6^{(9)/(5)}6^{(1)/(5)}=6^2, \\ x^{(10)/(3)}x^{(11)/(3)}=x^7, \\ y^{(7)/(2)}y^{(1)/(2)}=y^4. \end{gathered}`