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(23)-2×(23)-5=(23)10 - Mathematics

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Question

`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

LHS = `(2/3)^-2 xx (2/3)^-5`

Using law of exponents, am × an = (a)m + n   ...[∵ a is non-zero integer]

∴ `(2/3)^-2 xx (2/3)^-5 = (2/3)^(-2 - 5) = (2/3)^-7`

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 73. | Page 256

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