(Two to the 100th Power)Click below to read the question
The answer:Well...  before I can give you the answer, you need somebackground info...
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The length of a city block is miscellaneous you"re probably familiarwith.  Imagine go the length of a block.  Ittakesabout 3 minutes.Imagine 100 block end-to-end.  That"s the size of alargish city, choose Minneapolis, wherein I live.  It would take20minutes to journey from one finish of the city to the other, ifthere were no traffic and also no red lamp to wait for.  Walkingthe distance would take 5 hours.
Light, however, deserve to go native one finish of Minneapolis come the various other inless 보다 a ten-thousandth of a second.  irradiate is the fastestthing there is.  nothing is faster.
The distance throughout the United states is around 200 time the length ofthe city, therefore walking non-stop, without also a potty break, would certainly take1000 hours, or virtually 42 days.  Light crosses that distance in alittle more than 1/100th that a second.  The country is very big,but irradiate is very, very fast.The distance from planet to the Moon is nearly 100 time the broad ofthe joined States.  It would certainly take just about 11 year to walk to theMoon.  irradiate goes from planet to the Moon in much less than 1.3 seconds.
Compared to any kind of distance ~ above Earth, the Moon is awfully far away. But light travels the distance in a heartbeat.Pluto is the most remote known earth in our solar system: morethan 15,000 times farther from planet than the Moon is.  This is afar bigger jump in range than any type of of the previous increases.  Itwould take 167,000 year to walk to Pluto.  Ughh!  i think I"llfly!  also light takes 5.5 hours to with Pluto.  At least thatis a comfortably familiar period of time.  however compared to1.3seconds for light to with the Moon, Pluto is dreadful distant.
The star nearest ours solar device is Proxima Centauri.  that is4.2 light-years away, which way that its irradiate takes 4.2 year toget here.  that is 6,700 time farther than Pluto.  another hugejump in range -- lot larger, because that example, than the 200x run from thewidth that a city come the width of the joined States.  You have the right to prettyeasily wait the 5.5 hours it takes because that light to walk from the sun toPluto, but waiting the 4.2 year it takes for light to acquire here fromProxima calls for a great deal much more patience.  also the very neareststar is exceptionally far away.
Stars space scattered thinly throughout many of our galaxy, the MilkyWay.  although the star nearest planet is 4.2 light-years away, theaverage distance between nearest surrounding stars is about10 light-years.  because there are at least 300 exchange rate stars in theMilky Way, the galaxy have to be unimaginably large.  In fact, thevisible disc is estimated to be 100,000 light-years in diameter. That is an ext than 20,000 times the distance to Proxima.The largest jump in scale yet.You could wait 4.2 years because that light to travel to earth from ProximaCentauri, yet 100,000 year is longer, by far, than humans have beengrowing food plants or building permanent shelters.  the is a lengthof time which can not be experienced, and probably cannot really becomprehended.  It argues that the distance across the Milky Wayis additionally beyond comprehension.
The nearest large galaxy to our is the famed Andromeda Galaxy. It is very similar in size and shape to the Milky Way, and is theother significant component that the Local team of galaxies.  the is themost far-off thing which deserve to be watched by the unaided eye.  Lightfrom Andromeda has actually traveled 3 million light-years to reach us. That is 30 times the diameter the the Milky Way.  as soon as starlightfrom Andromeda the we see now began its journey to Earth, human being beingsdid no yet exist.  our ancestors had actually not yet learned exactly how to makestone tools.
The most remote galaxy however seen straight (discovered in 1999) hasa redshift of 6.68, indicating that its light was emitted when theUniverse was just 5% that its present age.  If the universe is now13.7 billion year old, the light has traveled 13 exchange rate light-yearsto with us.  that is 4,300 time the street to the AndromedaGalaxy.  however another vast jump in scale.  13 billion years ago,the cloud that dust and also gas indigenous which ours solar system would kind didnot however exist.The ultimate distance possible is the street that light couldtravel due to the fact that the beginning of the universe in the large Bang.  Allthe irradiate from that event was immediately took in (and re-emitted,and re-absorbed many times), however 380,000 years later on the temperaturehad fallen sufficient for hydrogen atoms to form, leading to the Universeto end up being transparent.  This permitted light to take trip unimpeded. Light native the hot, young cosmos reaches united state now, greatly red-shifted,as the cosmic microwave background radiation.
The elevator radiation has actually traveled practically 13.7 billion light-years,or 4,600 time the distance to the Andromeda Galaxy.
Okay.  currently for the answer come the question.You remember the question:          exactly how thick will the stack of file be after          cut it in fifty percent and stacking the 100 times?Each time you reduced the ridge of record in two, the variety of piecesdoubles:  2 x 2 x 2...  one hundreds times, or two to the100th power, symbolized as 2100.Two come the 100th power is 1,267,650,600,228,229,401,496,703,205,376.In the united state number specify name system, that is one nonillion, 267 octillion,650 septillion, 600 sextillion, 228 quintillion, 229 quadrillion, 401trillion, 496 billion, 703 million, 205 thousand, 376.With a calculator the shows sufficient digits, you can obtain this numbersimply by multiply twos together, in less than a minute.Multiplying through the thickness the the document in millimeter (0.1 mm)gives the height of the stack in millimeters.  dividing the resultby 1000 provides the height of the ridge in meters.  separating that bythe variety of meters in a light-year (9,460,536,000,000,000) offers theheight that the ridge in light-years.Starting v a paper of document 0.1 millimeter thick, copy thethickness one hundreds times outcomes in a ridge 13.4 billionlight-years tall.  It would reach from earth to past themost remote galaxy we can see through the most an effective telescopes --almost to the sheet of the observable Universe.
Part the the Hubble an are Telescope Deep field - North. Nearly every clues of light is a galaxy.
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If you uncover it tough to believe that simply 100 cut of the paperwill make the stack flourish to such a height, here isa way to visualize the strength oftwo, plus much more facts and also info.
To my an are and Science house pageJeff RootAugust 18, 2003