## College Algebra 7th Edition

(a) $2^{1/2}>2^{1/3}$ (b) $2^{-1/2}<2^{-1/3}$
(a) Since $\displaystyle \frac{1}{2}=0.5>\frac{1}{3}=0.3\bar3$, we know that: $2^{1/2}>2^{1/3}.$ (b) $(\displaystyle \frac{1}{2})^{1/2}=2^{-1/2}$ and $(\displaystyle \frac{1}{2})^{1/3}=2^{-1/3}$ We know that \$-\frac{1}{2}=-0.5