SOLUTION: Please help me with this problem: Simplify the expression: sqrt (x) times ^3 sqrt (x)

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Question 107689This question is from textbook
: Please help me with this problem:
Simplify the expression:
sqrt (x) times ^3 sqrt (x) This question is from textbook

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Exponent rules that are important here.
%28x%5Em%29%5En=x%5E%28m%2An%29
x%5Em%2Ax%5En=x%5E%28m%2Bn%29
The square root is another way to say to the 1/2 power.
sqrt%28x%29=x%5E%281%2F2%29
%28sqrt+%28x%29%29%5E3%2Asqrt%28x%29=%28x%5E%281%2F2%29%29%5E3%2Ax%5E%281%2F2%29
%28sqrt+%28x%29%29%5E3%2Asqrt%28x%29=%28x%5E%283%2F2%29%29%2Ax%5E%281%2F2%29
%28sqrt+%28x%29%29%5E3%2Asqrt%28x%29=x%5E%283%2F2%2B1%2F2%29
%28sqrt+%28x%29%29%5E3%2Asqrt%28x%29=x%5E%284%2F2%29
%28sqrt+%28x%29%29%5E3%2Asqrt%28x%29=x%5E2