Find :
i)\(2^{\frac{2}{3} } × 2^{\frac{1}{5} }\)
ii)\((\frac{1}{3^{3}})^{7} \)
iii)\(\frac{11^{\frac{1}{2} }}{11^{\frac{1}{4} }} \)
iv)\(7^{\frac{1}{2} } × 8^{\frac{1}{2} }\)

i)\(2^{\frac{2}{3} } × 2^{\frac{1}{5} }\)
\( = 2^{\frac{2}{3} + \frac{1}{5} }\)
\(= 2^{\frac{(10+3)}{15} }\)
\(= 2^{\frac{13}{15} }\)


ii) \((\frac{1}{3^{3}})^{7} \)
\( = \frac{1}{3^{3 × 7}}\)
\( = \frac{1}{3^{21}}\)
\( = 3^{-21}\)


iii)\(\frac{11^{\frac{1}{2} }}{11^{\frac{1}{4} }} \)
\( = 11^{( \frac{1}{2} - \frac{1}{4} ) } \)
\(= 11^{\frac{1}{4} }\)


iv)\(7^{\frac{1}{2} } × 8^{\frac{1}{2} }\)
\(= (7 × 8)^{\frac{1}{2} } \)
\( = 56^{\frac{1}{2} }\)