SOLUTION: what is the properties of (x^4)^-3*2x^4 contain only positive exponents

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: what is the properties of (x^4)^-3*2x^4 contain only positive exponents      Log On


   

Question 736150: what is the properties of (x^4)^-3*2x^4 contain only positive exponents
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E4%29%5E-3%2A2x%5E4..first use negative exponent property a%5E-1=1%2Fa

%281%2F%28%28x%5E4%29%5E3%29%29%2A2x%5E4

2x%5E4%2F%28%28x%5E%284%29%5E3%29%29...use a power of a power property %28%28a%29%5Eb%29%5Ec+=+%28a%29%5E%28bc%29

2x%5E4%2F%28x%5E%284%2A3%29%29

2x%5E4%2Fx%5E12....use a quotient property a%5Eb%2Fa%5Ec+=+a%5E%28b-c%29

2x%5E%284-12%29

2x%5E%28-8%29.....use negative exponent property

2%2Fx%5E8