Question

Write each of the following in power notation:

(i) $\frac{5}{7}\times \frac{5}{7}\times \frac{5}{7}\times \frac{5}{7}$
(ii) $\left(\frac{-4}{3}\right)\times \left(\frac{-4}{3}\right)\times \left(\frac{-4}{3}\right)\times \left(\frac{-4}{3}\right)\times \left(\frac{-4}{3}\right)$
(iii) $\left(\frac{-1}{6}\right)\times \left(\frac{-1}{6}\right)\times \left(\frac{-1}{6}\right)$
(iv) (−8) × (−8) × (−8) × (−8) × (−8)

Answer 1

(i) $\frac{5}{7}\times \frac{5}{7}\times \frac{5}{7}\times \frac{5}{7}={\left(\frac{5}{7}\right)}^4$

(ii) $\left(\frac{-4}{3}\right)\times \left(\frac{-4}{3}\right)\times \left(\frac{-4}{3}\right)\times \left(\frac{-4}{3}\right)\times \left(\frac{-4}{3}\right)={\left(\frac{-4}{3}\right)}^5$

(iii) $\left(\frac{-1}{6}\right)\times \left(\frac{-1}{6}\right)\times \left(\frac{-1}{6}\right)={\left(\frac{-1}{6}\right)}^3$

(iv) $\left(-8\right)\times \left(-8\right)\times \left(-8\right)\times \left(-8\right)\times \left(-8\right)={\left(-8\right)}^5$