SOLUTION: This is another question that has me confused. Your explanation or steps would be helpful to solve my other equations. thanks (x^2y^-1m^-3)^3 ___________ 2p^-4 thank yo

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: This is another question that has me confused. Your explanation or steps would be helpful to solve my other equations. thanks (x^2y^-1m^-3)^3 ___________ 2p^-4 thank yo      Log On


   

Question 68549This question is from textbook Saxson Algebra 1
: This is another question that has me confused. Your explanation or steps would be helpful to solve my other equations. thanks
(x^2y^-1m^-3)^3
____________
2p^-4
thank you This question is from textbook Saxson Algebra 1

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2y%5E-1m%5E-3%29%5E3%2F2p%5E-4
1. Simplify the numerator %28x%5E2y%5E-1m%5E-3%29%5E3%2F2p%5E-4

Property of Exponent
For all real numbers a and for all positive integers m and n:
%28a%5Em%29%5En+=+a%5Emn

%28x%5E2%2Ay%5E-1%2Am%5E-3%29%5E3%2F2p%5E-4

%28x%5E%282%2A3%29y%5E%28-1%2A3%29m%5E%28-3%2A3%29%29%2F2p%5E-4

%28x%5E6y%5E-3m%5E-9%29%2F2p%5E-4


2. For all real numbers a, a≠0, and for all integers n:
a%5E%28-n%29+=+1%2Fa%5En

Apply the Definition of Negative exponent
%28x%5E6%2A1%2Fy%5E3%2A1%2Fm%5E9%29%2F%282%2A1%2Fp%5E4%29


%28x%5E6%2A1%2Fy%5E3%2A1%2Fm%5E9%29%2A%28p%5E4%2F2%29

highlight+%28x%5E6p%5E4%2F2y%5E3m%5E9%29