1.

What is the value of \(\left( {\frac{1}{{2197}}} \right){^{\frac{4}{3}}} \div \left( {\frac{1}{{4913}}} \right){\;^{\frac{2}{3}}}\)1). 289/285612). 289/284613). 289/286614). None of these

Answer»

⇒ $(\left( {\frac{1}{{2197}}} \right){^{\frac{4}{3}}} \DIV \left( {\frac{1}{{4913}}} \right){^{\frac{2}{3}}})$

⇒ $({2197^{ - \left( {\frac{4}{3}} \right)}} \div {4913^{ - \left( {\frac{2}{3}} \right)\;}})$

⇒ $({4913^{\left( {\frac{2}{3}} \right)}} \div {2197^{\left( {\frac{4}{3}} \right)\;}})$

⇒ $(\left( {{{17}^3}} \right){^{\left( {\frac{2}{3}} \right)}} \div ({13^3}){\;^{\left( {\frac{4}{3}} \right)\;}})$

⇒ $(\frac{{{{17}^2}}}{{{{13}^4}}})$

∴ 289/28561


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