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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.

Guest 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

ElectricPavlov  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.

Guest Nov 6, 2018

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