Can you provide an elegant solution for this?

Algebra Level 1

1024 64 = ? \frac{1024}{64} = ?


The answer is 16.

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Noel Lo by Noel Lo , 24, Singapore

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5 solutions

Noel Lo
Apr 27, 2015

1024 64 = 2 10 2 6 = 2 10 − 6 = 2 4 = 16 \frac{1024}{64} = \frac{2^{10}}{2^6} = 2^{10-6} = 2^4 = 16

OR

1024 64 = 4 5 4 3 = 4 5 − 3 = 4 2 = 16 \frac{1024}{64} = \frac{4^5}{4^3} = 4^{5-3} = 4^2 = 16

OR

1024 64 = 3 2 2 8 2 = ( 32 8 ) 2 = 4 2 = 16 \frac{1024}{64} = \frac{32^2}{8^2} = (\frac{32}{8})^2 = 4^2= 16

8 Helpful 1 Interesting 0 Brilliant 0 Confused

Or this too: 1024 64 = 32 × 32 32 × 2 = 32 2 = 16 \frac{1024}{64}=\frac{32\times32}{32\times2}=\frac{32}{2}=16

That's what I did.

Omkar Kulkarni - 6 years, 1 month ago

Good solution.

Sai Ram - 5 years, 9 months ago
Sai Ram
Sep 10, 2015

1024 64 = 2 10 2 6 = 2 10 − 6 = 2 4 = 16 \frac{1024}{64} = \frac{2^{10}}{2^6} = 2^{10-6} = 2^4 = 16

OR

1024 64 = 4 5 4 3 = 4 5 − 3 = 4 2 = 16 \frac{1024}{64} = \frac{4^5}{4^3} = 4^{5-3} = 4^2 = 16

OR

1024 64 = 3 2 2 8 2 = ( 32 8 ) 2 = 4 2 = 16 \frac{1024}{64} = \frac{32^2}{8^2} = (\frac{32}{8})^2 = 4^2= 16

1 Helpful 0 Interesting 0 Brilliant 0 Confused
David Billa
Apr 28, 2015

1024/64=16

0 Helpful 0 Interesting 1 Brilliant 0 Confused
Ashish Menon
Jun 2, 2016

1024 64 = 16 \dfrac{1024}{64} = \color{#69047E}{\boxed{16}} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Irtaza Sheikh
May 2, 2015

This one you can also just break into form of denominator.
16×64/64 = 16×1=16 ans

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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