Question

express in power notation
(a) $\frac{49}{81}$
(b) $\frac{-8}{27}$

Answer 1

(a) $\frac{49}{81}=\frac{7\times 7}{9\times 9}=\frac{7}{9}\times \frac{7}{9}={\left(\frac{7}{9}\right)}^2$

(b) $\frac{-8}{27}=\frac{(-2)\times (-2)\times (-2)}{3\times 3\times 3}=\left(\frac{-2}{3}\right)\times \left(\frac{-2}{3}\right)\times \left(\frac{-2}{3}\right)={\left(\frac{-2}{3}\right)}^3$