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Xmym=(yx)-m - Mathematics

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Question

`x^m/y^m = (y/x)^-m`

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

RHS = `(y/x)^-m`

Using laws of exponents, `(a/b)^m = a^m/b^m` and `a^-m = 1/a^m`  ...[∵ a and b are non-zero integers]

∴ `(y/x)^-m = y^-m/x^-m = x^m/y^m`

LHS = RHS

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Chapter 8: Exponents and Powers - Exercise [Page 256]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 82. | Page 256

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