SOLUTION: 2 to the n power multiplied by 2' all over 2 to -5 power equals 2 squared, solve for n

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Question 967135: 2 to the n power multiplied by 2' all over 2 to -5 power equals 2 squared, solve for n
Answer by MathTherapy(10801) About Me  (Show Source):
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2 to the n power multiplied by 2' all over 2 to -5 power equals 2 squared, solve for n
*************************************2 to the n power multiplied by 2' all over 2 to -5 power equals 2 squared, solve for n
               If %282%5En+%2A+2%29%2F2%5E%28-+5%29+=+2%5E2, then:
                 %282%5En+%2A+2%5E1%29%2F2%5E%28-+5%29+=+2%5E2
              %282%5E%28n+%2B+1%29%29%2F2%5E%28-+5%29+=+2%5E2
                 2%5E%28n+%2B+1%29+=+%282%5E2%29%282%5E%28-+5%29%29 ---- Cross-multiplying
                 2%5E%28n+%2B+1%29+=+2%5E%282+%2B+-+5%29
                    n + 1 = 2 + - 5 --- EQUATING exponents, since bases are equal
                    n + 1 = - 3 
                           n = - 3  -  1 = - 4