SOLUTION: Fraction: 2/-2^-3 is supposed to be equal to 16. But I don't get it. Can someone explain the process for my understanding? I don't know how to deal with negative exponents espe

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Fraction: 2/-2^-3 is supposed to be equal to 16. But I don't get it. Can someone explain the process for my understanding? I don't know how to deal with negative exponents espe      Log On


   



Question 234136: Fraction: 2/-2^-3 is supposed to be equal to 16.
But I don't get it.
Can someone explain the process for my understanding? I don't know
how to deal with negative exponents especially when it's in a fraction.

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
2/-2^-3 is supposed to be equal to 16.
Use the rule that says: a^(-1) = 1/(a)^(+1)
Actually, the answer is not 16 but -16.
2/-2^-3 becomes 2/(-2)^(-3) = 2/(1/-8)
For 2/(1/-8), we multiply the top and bottom by -8.
So, 2/(1/-8) becomes 2(-8)/1 = -16/1 = -16
The correct answer is -16.