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Simplify: - Mathematics

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Question

Simplify:

`(2^-3-2^-4)(2^-3+2^-4)`

Sum

Solution

`(2^-3-2^-4)(2^-3+2^-4)`

`=(2^-3)^2-(2^-4)^2`

`{∵("a"-"b")("a"+"b")="a"^2-"b"^2}`

`=2^-6-2^-8=1/2^6-1/2^8`

`=1/64-1/256`

`=(4-1)/256=3/256`

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More About Exponents
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Chapter 2: Exponents - Exercise 2 (B) [Page 33]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 2 Exponents
Exercise 2 (B) | Q 2.3 | Page 33
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