SOLUTION: Siplify the following expression, give an answer using only positive values for exponents. (2x^-3)^4(3x^5)^-2

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Question 54272: Siplify the following expression, give an answer using only positive values for exponents.
(2x^-3)^4(3x^5)^-2
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Exponential rules that apply to this problem:
1. highlight%28%28a%5Em%29%5En=a%5E%28m%2An%29%29
2. highlight%28%28a%5Em%29%28a%5En%29=a%5E%28m%2Bn%29%29
3. highlight%28a%5E%28-m%29=1%2F%28a%5Em%29%29
:
%282x%5E-3%29%5E4%283x%5E5%29%5E-2
2%5E%281%2A4%29x%5E%28-3%2A4%29%2A3%5E%281%2A-2%29x%5E%285%2A-2%29 Rule 1
2%5E4x%5E-12%2A3%5E-2%2Ax%5E-10
2%5E4%2A3%5E-2%2Ax%5E%28-12%2B%28-10%29%29 Rule 2
2%5E4%2A3%5E-2%2Ax%5E-22
2%5E4%2F%283%5E2%2Ax%5E22%29 Rule 3
highlight%2816%2F%289%2Ax%5E22%29%29 (2*2*2*2=16 and 3*3=9)
Happy Calculating!!!