anonymous
  • anonymous
what is half of 2^{40} ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[2^{40}\]
anonymous
  • anonymous
\[2^{39}\]
anonymous
  • anonymous
could you show me how you got that ?

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anonymous
  • anonymous
sure.
anonymous
  • anonymous
lets do a simpler one. \[2^5=32\] half of 32 is 16 \[2^4=16\]
anonymous
  • anonymous
ok
anonymous
  • anonymous
now for the "math" half of \[2^{40}\] means \[\frac{2^{40}}{2}\]
anonymous
  • anonymous
when you divide you subtract the exponents, so you get \[2^{40-1}=2^{39}\]
anonymous
  • anonymous
sorry im a little lost, why did u subtract 1 ?
anonymous
  • anonymous
oh because the denominator was 2, and \[2=2^1\]
anonymous
  • anonymous
oh i see
anonymous
  • anonymous
and when you divide you subtract the exponents. \[\frac{b^n}{b^m}=b^{n-m}\]
anonymous
  • anonymous
but forget about that for a second. power of two look like 2,4,8,16,32,64,128,...
anonymous
  • anonymous
multiply by 2 to get the next one. so if you divide by 2 you get the previous one.
anonymous
  • anonymous
alright then thank you :)!
anonymous
  • anonymous
o wow

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