Find the values of the following:
(i) \(64^{1/2}\)
(ii) \(32^{1/5}\)
(iii) \(125^{1/3}\)
(i) 8
(ii) 2
(iii) 5
Find the values of the following:
(i) \(9^{3/2}\)
(ii) \(32^{2/5}\)
(iii) \(16^{3/4}\)
(iv) \(125^{-1/3}\)
(i) 27
(ii) 4
(iii) 8
(iv) \(\dfrac{1}{5}\) [\((125)^{-1/3} = (5^{3})^{-1/3} = 5^{-1}\)]
Simplify the following:
(i) \(2^{2/3} \cdot 2^{1/5}\)
(ii) \(\left(\dfrac{1}{3^{3}}\right)^{7}\)
(iii) \(\dfrac{11^{1/2}}{11^{1/4}}\)
(iv) \(7^{1/2} \cdot 8^{1/2}\)
(i) \(2^{13/15}\)
(ii) \(3^{-21}\)
(iii) \(11^{1/4}\)
(iv) \(56^{1/2}\)