SOLUTION: Use the quotient rule to simplify the expression: (-11)21 ------- (-11)19 Note- The problem reades -11 to the 21 power divide by -11 to the 19 power. Thanks, Pat

Algebra ->  Angles -> SOLUTION: Use the quotient rule to simplify the expression: (-11)21 ------- (-11)19 Note- The problem reades -11 to the 21 power divide by -11 to the 19 power. Thanks, Pat       Log On


   



Question 152409: Use the quotient rule to simplify the expression:
(-11)21
-------
(-11)19
Note- The problem reades -11 to the 21 power divide by -11 to the 19 power.
Thanks,
Pat

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
When you divide exponential expressions of the same base, you subtract the exponents.
x%5EM%2Fx%5EN=x%5E%28M-N%29
In your case x=-11 and M and N are 21 and 19,
%28-11%29%5E21%2F%28-11%29%5E19=%28-11%29%5E%2821-19%29
%28-11%29%5E21%2F%28-11%29%5E19=%28-11%29%5E%282%29
%28-11%29%5E21%2F%28-11%29%5E19=121