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Express root 3 as a power of 9. thanks

Hello, Quote: Originally Posted by abey_27 Express root 3 as a power of 9. thanks We know that $\displaystyle 3^2=9$ Take the 1/2 th power on each side : $\displaystyle (3^2)^{1/2}=\boxed{3=9^{1/2}}$ that was using the rule $\displaystyle (a^b)^c=a^{bc}$ and now continue for $\displaystyle \sqrt{3}=3^{1/2}$ (Tongueout)