SOLUTION: Thanks for all your help!! 1) Simplify and evaluate: (x^3y^-4z^0/3x^6y^-3)^4 3)Convert to scientific notation: 0.003816

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: Thanks for all your help!! 1) Simplify and evaluate: (x^3y^-4z^0/3x^6y^-3)^4 3)Convert to scientific notation: 0.003816      Log On

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Question 174758: Thanks for all your help!!
1) Simplify and evaluate:
(x^3y^-4z^0/3x^6y^-3)^4


3)Convert to scientific notation:
0.003816
Answer by ankor@dixie-net.com(12706) About Me  (Show Source):
You can put this solution on YOUR website!
1) Simplify and evaluate:
%28%28x%5E3y%5E-4z%5E0%29%2F%283x%5E6y%5E-3%29%29%5E4
z^0 = 1 so we can write it:
%28%28x%5E3y%5E-4%29%2F%283x%5E6y%5E-3%29%29%5E4
Combine like term exponents in a manner that will make the results positive:
%281%2F%283x%5E%28%286-3%29%29y%5E%28%28-3%2B4%29%29%29%29%5E4
%281%2F%283x%5E3y%29%29%5E4 = 1%2F%2881x%5E12y%5E4%29

3)Convert to scientific notation:
0.003816
:
Move the decimal 3 places to the right and you have: 3.816(10^-3)