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Find the power of 3 in the expression: \(\sqrt {2\sqrt {3\sqrt {3\sqrt {3\sqrt 3 } } \;} } \)1). 15/322). 1/23). 15/164). 0

Answer»

⇒ $(\sqrt {2\sqrt {3\sqrt {3\sqrt {3\sqrt 3 } } \;} } )$

⇒ $(\sqrt {2\sqrt {3\sqrt {3\sqrt {3 \TIMES {3^{\FRAC{1}{2}}}} } \;} } )$

⇒ $(\sqrt {2\sqrt {3\sqrt {3\sqrt {{3^{\frac{3}{2}}}} } \;} } )$ ⇒ $(\sqrt {2\sqrt {3\sqrt {3 \times {3^{\frac{3}{4}}}} \;} } )$ ⇒ $(\sqrt {2\sqrt {3\sqrt {{3^{\frac{7}{4}}}} \;} } )$

⇒ $(\sqrt {2\sqrt {3 \times {3^{\frac{7}{8}}}\;} } )$⇒ $(\sqrt {2 \times {3^{\frac{{15}}{{16}}}}} )$

⇒ √2 × √(3(15/16))

⇒ 2(1/2) × 3(15/32)

POWER of 3 is 15/32.



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