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Please help! Describe how to transform the quantity of the sixth root of x to the fifth power, to the seventh powerinto an expression with a rational exponent. Make sure you respond with complete sentences.
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Can you write it out? I think it looks like \[(\sqrt[6]{x}^{5})^{7} \]
yes, thats right.
An nth root of a number is the same as that number to the (1/n), so the 6th root of x^5 is x^(5/6).
okay
Then you multiply the exponent by 7.= (5*7)/6
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ok
So I'm not sure how to make the exponent any more rational without moving backwards (\[\sqrt[6]{x}^{35}\]).
so this is as far as we can go?
Yes, pretty much.
|dw:1413952255065:dw|
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