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The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probability it is not a perfect power (integers that can be expressed as x^y where x is an integer and y is an integer greater than 1. For example, 2^4 is a perfect power, while 2*3=6 is not a perfect power)? Express your answer as a common fraction.

 Nov 6, 2018
 #1
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 1

 4 8 16 32 64 128

 9 27 81

 

 25 125

 36

 49

 

 

 100

 121

 144
17 out of 150 ARE perfect powers

so   133/150   

 

Corrected....thanx guest

 Nov 6, 2018
edited by Guest  Nov 6, 2018
edited by Guest  Nov 6, 2018
edited by Guest  Nov 6, 2018
edited by Guest  Nov 6, 2018
 #2
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However, it says y>1, so 1,2,3,4,5,6,7,8,9,10,11, and 12 do not count as perfect powers. You also overcounted some.

 Nov 6, 2018

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