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how many ways can u write 1/64 as an integer to the power of another integer

 Nov 25, 2019
 #1
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0

It’s 6

 Nov 25, 2019
 #2
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There are several ways of doing it:

 

2^-6 =1 / 64

4^-3 =1 / 64

8^-2=1 / 64

64^ -1=1 / 64

 

Also:

16^ -3/2 = 1/64

32^ -6/5= 1/64.   But the exponents here are not "integers".

 Nov 25, 2019
 #3
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+1

how many ways can u write 1/64 as an integer to the power of another integer

 

Hello notsmart!

 

\(\frac{1}{64}=\ {\color{blue} 2^{-6}=4^{-3}=8^{-2}=64^{-1}}\)

 

laugh  !

 Nov 25, 2019

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