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[(-14)16]2=(-14)- - Mathematics

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Question

`[((-1)/4)^16]^2 = ((-1)/4)^-`

Fill in the Blanks

Solution

`[((-1)/4)^16]^2 = ((-1)/4)^bb(underline(32)`

Explanation:

Here, `[((-1)/4)^16]^2 = ((-1)/4)^(16 xx 2)`  ......[∵ (am)n = amn]

= `((-1)/4)^32`

∴ `[((-1)/4)^16]^2 = ((-1)/4)^32`

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Chapter 11: Exponents and Powers - Exercise [Page 341]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 11 Exponents and Powers
Exercise | Q 29. | Page 341

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