SOLUTION: I'm confused on this math problem. use the laws of exponents to simplify (3^7/6)^2/9=

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Question 490601: I'm confused on this math problem.
use the laws of exponents to simplify
(3^7/6)^2/9=

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
you have a few exponential and radical rules that will be applied to solve this problem.

the solution to your problem is shown in the attached picture.

$$$$$

number 1 tells you the exponential rule that is being used.
numbers 2 and 3 tell you the exponential to radical conversion rules that are being used.
number 3 tells you the solution to your problem using the rule in number 1.
numbers 5 and 6 tell you the solution to your problem in radical form using the rules in numbers 2 and 3.
numbers 7 through 10 show you that each form provides you with the same answer, as they should.

the answer to your question is in number 4.

that answer is 3^(7/27).

i believe it can't be simplified further than that.


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