SOLUTION: If a and b are real numbers and n is a positive integer, write a simplified expression for the product of a to the negative n power times b to the zero power that contains only pos

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: If a and b are real numbers and n is a positive integer, write a simplified expression for the product of a to the negative n power times b to the zero power that contains only pos      Log On


   



Question 391491: If a and b are real numbers and n is a positive integer, write a simplified expression for the product of a to the negative n power times b to the zero power that contains only positive exponents. Explain your answer. HELP!!!
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E%28-n%29%2Ab%5E0
Any number, except zero, raised to the zero power is always a 1. So as long as "b" in not zero, then b%5E0+=+1 and the expression becomes:
a%5E%28-n%29%2A1
which simplifies to:
a%5E%28-n%29
And since a%5E%28-n%29 means the reciprocal of a%5En, this expression can be rewritten as:
1%2Fa%5En