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tres1jolie tres1jolie
  • 29-01-2017
  • Mathematics
Answered

Evaluate \(\frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{9^5} }\)

Verified Answer :

jimthompson5910 jimthompson5910
  • 29-01-2017

\(\Large \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{9^5} }\)

\(\Large \frac{ 9^{1/4} 9^{1/2} }{ 9^{5/4} }\)

\(\Large \frac{ 9^{1/4+1/2} }{ 9^{5/4} }\)

\(\Large \frac{ 9^{3/4} }{ 9^{5/4} }\)

\(\Large 9^{3/4-5/4}\)

\(\Large 9^{-2/4}\)

\(\Large 9^{-1/2}\)

\(\Large \frac{1}{\sqrt{9}}\)

\(\Large \frac{1}{3}\)

The final answer is \(\Large \frac{1}{3}\)

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