Question

Express each of the following in exponential form:
(i) (−5) × (−5) × (−5)
(ii) $\frac{-5}{7}\times \frac{-5}{7}\times \frac{-5}{7}\times \frac{-5}{7}$
(iii) $\frac{4}{3}\times \frac{4}{3}\times \frac{4}{3}\times \frac{4}{3}\times \frac{4}{3}$

Answer 1

We have
(i) (−5) × (−5) × (−5) = ( −5)³

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

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