Over 9000%

Algebra Level 3

Evaluate ( 810000 % ) 9000 % 9000 % 9000 % . \dfrac{ \left( \sqrt { 810000 \% } \right)^{ \dfrac { 9000\% }{ 9000\% } } }{ 9000\% } .

1000% 900% 90% 100% 10% 9000%

William Pan by William Pan , 17, USA

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1 solution

Arulx Z
Dec 30, 2015

= 810000 % 9000 % 9000 % 9000 % = 810000 % 9000 % = 8100 90 = 90 90 = 1 = 100 % =\frac { { \sqrt { 810000\% } }^{ \frac { 9000\% }{ 9000\% } } }{ 9000\% } \\ =\frac { \sqrt { 810000\% } }{ 9000\% } \\ =\frac { \sqrt { 8100 } }{ 90 } \\ =\frac { 90 }{ 90 } \\ =1=100\%

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