SOLUTION: Evaluate the following using the rules of exponent.((-2)3)4*(-2)6*(-2)-5

Algebra ->  Exponents -> SOLUTION: Evaluate the following using the rules of exponent.((-2)3)4*(-2)6*(-2)-5      Log On


   

Question 100383: Evaluate the following using the rules of exponent.((-2)3)4*(-2)6*(-2)-5
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
If I am reading the problem correctly, here is the answer;
%28%28-2%29%5E3%29%5E4%2A%28-2%29%5E6%2A%28-2%29%5E-5
First multiply the power of 4 and the power of 3, a negative exponent turns integers into fractions;
%28-2%29%5E12%2A%28-2%29%5E6%2A%281%2F-2%5E5%29
%28-2%29%5E12%2A%28-2%29%5E6%2F%28-2%5E5%29
since the bases are the same we can add the exponents;
%28-2%29%5E18%2F%28-2%29%5E5
You subtract exponents when the bases are the same and they are being divided, so we subtract 18-5;
%28-2%29%5E13
:)