A student said that 3595 is the same as 13. What mistake has the student made? - Mathematics

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Sum

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

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Solution

We have, `3^5/9^5 = 3^5/(3^2)^5`  ......[∵ 9 = 3 × 3 = 32]

= `3^5/3^10` = `1/(3^(10 - 5)` = `1/3^5`  ......`[∵ a^m/a^n = a^(m-n)]`

So, `1/3` is not same as `1/3^5`

Student has multiplied the base by its exponent.

This is the error.

  Is there an error in this question or solution?
Chapter 11: Exponents and Powers - Exercise [Page 352]

APPEARS IN

NCERT Exemplar Mathematics Class 7
Chapter 11 Exponents and Powers
Exercise | Q 97. | Page 352

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