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(43)5×(57)5=(43+57)5 - Mathematics

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Question

`(4/3)^5 xx (5/7)^5 = (4/3 + 5/7)^5`

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Here, `(4/3)^5 xx (5/7)^5 = (4/3 xx 5/7)^5` ......[∵ am × bm = (ab)m]

and `[(4/3) ÷ (5/7)]^5 = (4/3 xx 7/5)^5`  .....`[∵ (a/b) ÷ (c/d) = a/b xx d/c]`

Hence, `(4/3 xx 5/7)^5 ≠ (4/3 xx 7/5)^5`

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

APPEARS IN

NCERT Exemplar Mathematics [English] Class 7
Chapter 11 Exponents and Powers
Exercise | Q 57. | Page 342

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