I wonder

Algebra Level 1

201 6 2 2016 = ? \large \dfrac{2016^2}{2016 }=\, ?

2016 2015 2017 2014

Felix Lu by Felix Lu , 18, USA

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4 solutions

Mohammad Khaza
Jul 31, 2017

( 2016 × 2016 ) 2016 = 2016 \frac {(2016 \times 2016)}{2016}=2016

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ashish Menon
Jun 1, 2016

2016 2 2016 = 2016 \dfrac{{2016}^2}{2016} = \color{#69047E}{\boxed{2016}} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ananth Jayadev
Jan 18, 2016

Remember that, a 2 a = a 2 a 1 = a 2 − 1 = a 1 = a \frac {a^2}{a} = \frac {a^2}{a^1} = a^{2-1} = a^1 = a

Therefore, 201 6 2 2016 = 2016 201 6 1 = 201 6 2 − 1 = 201 6 1 = 2016 \frac {2016^2}{2016} = \frac {2016}{2016^1} = 2016^{2-1} = 2016^1 = 2016

0 Helpful 0 Interesting 0 Brilliant 0 Confused

⇒ 201 6 2 2016 \Rightarrow \dfrac{2016^2}{2016}

= 2016 × 2016 2016 = \dfrac{2016×2016}{2016}

= 2016 =\boxed{2016}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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