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(25)3÷(52)3 = 1 - Mathematics

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Question

`(2/5)^3 ÷ (5/2)^3 = 1`

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Here, `(2/5)^3 ÷ (5/2)^3 = (2/5)^3 xx (2/5)^3`  ...`[∵ (a/b) ÷ (c/d) = a/b xx d/c]`

= `(2/5)^(3 + 3)`  ...[∵ am × an = am + n]

= `(2/5)^6`  

Hence, `(2/5)^3 ÷ (5/2)^3 ≠ 1`

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Chapter 11: Exponents and Powers - Exercise [Page 342]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 11 Exponents and Powers
Exercise | Q 56. | Page 342

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