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10 to the power of 10 to the power of 100

Guest Mar 14, 2017
 #1
avatar+7153 
+1

\((10^{10})^{100}\)

When you raise an exponent to an exponent, multiply the exponents.

\(= 10^{10*100} \\ = 10^{1,000}\)

 

And 101,000 is a 1 with 1,000 zeros after it. I'm not going to type all that lol.

hectictar  Mar 14, 2017
 #2
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10^10^100 is NOT the same as (10^10)^100.

 

10^( one followed by 100 zeros), which is called "Googolplex", is quite different from 10^1,000=10^10^3. So that the exponent of 10^100 is 10^97 times bigger than the exponent of 10^3.

Guest Mar 14, 2017

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