An algebra problem by Syed Hamza Khalid

Algebra Level 1

What is the half of 2 40 2^{40} ?

Give a mathematical reason.

2 20 2^{20} 2 19 2^{19} 2 39 2^{39} 2 38 2^{38}

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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4 solutions

Parth Sankhe
Nov 20, 2018

2 40 2 = 2 40 − 1 = 2 39 \frac {2^{40}}{2}=2^{40-1}=2^{39}

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Matin Naseri
Dec 8, 2018

2 40 2 1 = 2 40 − 1 = 2 39 \frac{2^{40}}{2^{1}}=2^{40-1}={2^{39}}

2 39 = 549755813888 2^{39}= 549755813888

2 Helpful 1 Interesting 1 Brilliant 0 Confused
Ram Mohith
Nov 21, 2018

2 40 2 = 2 × 2 39 2 = 2 39 \large \dfrac{2^{40}}{2} = \dfrac{2 \times 2^{39}}{2} = 2^{39}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Magnus Käärik
Jan 26, 2019

20^40=2*20^39

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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