2016 Percentage 2!

Algebra Level 3

( 2016 % ) 2016 × 201 6 2016 = ? \LARGE{\sqrt{(2016\%)^{2016}\times2016^{2016}}=\, ?}

2016 2016 100 8 2016 1 0 2016 \dfrac{1008^{2016}}{10^{2016}} 2016 10 \dfrac{2016}{10} 201 6 2016 2016^{2016} 201 6 2016 1 0 2016 \dfrac{2016^{2016}}{10^{2016}} 2016 % 2016\% 201 6 1008 1 0 1008 \dfrac{2016^{1008}}{10^{1008}}

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2 solutions

Novril Razenda
Jul 8, 2016

( 2016 % ) 2016 × 201 6 2016 = ? \LARGE{\sqrt{( 2016\%)^{2016}\times2016^{2016}}=\, ?}

( 2016 % ) 2016 × 201 6 2016 = 201 6 2016 1 0 2 ( 2016 ) × 201 6 2016 \implies\sqrt{(2016\%)^{2016}\times2016^{2016}} =\sqrt{\dfrac{2016^{2016}}{10^{2(2016)}}\times2016^{2016}} 201 6 2 ( 2016 ) 1 0 2 ( 2016 ) = 201 6 2016 1 0 2016 \implies\sqrt{\dfrac{2016^{2(2016)}}{10^{2(2016)}}}=\boxed{\dfrac{2016^{2016}}{10^{2016}}}

( 2016 % ) 2016 × 201 6 2016 {\sqrt{(2016\%)^{2016}\times2016^{2016}}}

( 2016 100 ) 2016 × 201 6 2016 \sqrt{\left(\dfrac{2016}{100}\right)^{2016}×2016^{2016}}

201 6 2016 1 0 2016 × 1 0 2016 × 201 6 2016 \sqrt{\dfrac{2016^{2016}}{10^{2016}×10^{2016}}×2016^{2016}}

201 6 2016 1 0 2016 \large \therefore \boxed{\dfrac{2016^{2016}}{10^{2016}}}

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