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What's the error? A student said that ...

What's the error?
A student said that `(3^(5))/(9^(5))` is the same as `1/3`. What mistake has the student made?

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NCERT EXEMPLAR-EXPONENTS AND POWERS-EXERCISE
  1. Simplify and express each of the following in exponential form: (5^(...

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  2. Evaluate: (7^(8)xxa^(10)b^(7)c^(12))/(7^(6)xxa^(8)b^(4)c^(12))

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  3. Evaluate: (5^(4)xx7^(4)xx2^(7))/(8xx49xx5^(3))

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  4. Evaluate: (125xx5^(2)xxa^(7))/(10^(3)xxa^(4))

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  5. Evaluate: (3^(4)xx12^(3)xx36)/(2^(5)xx6^(3))

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  6. Evaluate: ((6xx10)/(2^(2)xx5^(3)))^(2)xx25/27

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  7. Evaluate: (15^(4)xx18^(3))/(3^(3)xx5^(2)xx12^(2))

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  8. Evaluate: (6^(4)xx9^(2)xx25^(3))/(3^(2)xx4^(2)xx15^(6))

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  9. Express the given information in Scientific notation (standard form) a...

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  10. Express the given information in Scientific notation and then arrange ...

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  11. Write the number of seconds in scientific notaiton.

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  12. In our own planet Earth 361,419,000 square kilometre of area is covere...

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  13. If 2^(n+2)-2^(n+2)-2^(n+1)+2^(n)=cxx2^(n) find the value of c.

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  14. A light year is the distance that light can travel in one year. 1 li...

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  15. Geometry Application: The number of diagonals of n sided figure is 1/2...

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  16. Life Science: Bacteria can divide in ever 20 minutes. So 1 bacterium c...

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  17. Blubber makes up 27 per cent of a blue whale's body weight. Deepak fou...

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  18. Life Science Application: The major components of human blood are red ...

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  19. A googol is the number 1 followed by 100 zeros. a. How is a googol w...

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  20. What's the error? A student said that (3^(5))/(9^(5)) is the same as...

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