SOLUTION: The problem is : (16/9) to the half power ANd this problem is in parenthesis. That is how it was written and it is to the 1/2 power. PLEASE Show me step by step.

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: The problem is : (16/9) to the half power ANd this problem is in parenthesis. That is how it was written and it is to the 1/2 power. PLEASE Show me step by step.       Log On

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Question 226374: The problem is :

(16/9)
to the half power

ANd this problem is in parenthesis. That is how it was written and it is to the 1/2 power.
PLEASE Show me step by step. I have no clue. I need this before class so I hope you know how to show me this. THANKS !! Kristy
Answer by Theo(2978) About Me  (Show Source):
You can put this solution on YOUR website!
%2816%2F9%29%5E%281%2F2%29 is the same as sqrt%2816%2F9%29.

Since sqrt%2816%2F9%29 is the same as sqrt%2816%29%2Fsqrt%289%29, then the answer is 4/3 because sqrt%2816%29 equals 4 and sqrt%289%29 equals 3.

4/3 = 1.3333333

If you use your calculator to solve %2816%2F9%29%5E%281%2F2%29, you will get 1.3333333

If you use your calculator to solve 16%5E%281%2F2%29+%2F+9%5E%281%2F2%29, you will also get 1.3333333

If you use your calculator to solve sqrt%2816%2F9%29, you will also get 1.3333333

If you use your calculator to solve sqrt%2816%29+%2F+sqrt%289%29, you will also get 1.333333

They are all equivalent.