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Simplify: - Mathematics

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Question

Simplify:

`("x"^(2"n"+7).("x"^2)^(3"n"+2))/"x"^(4(2"n"+3)`

Sum

Solution

`("x"^(2"n"+7).("x"^2)^(3"n"+2))/"x"^(4(2"n"+3)`

Given expression`=("x"^(2"n"+7)."x"^(6"n"+4))/"x"^(8"n"+12`

`="x"^(2"n"+7+6"n"+4)/"x"^(8"n"+12)="x"^(8"n"+11)/"x"^(8"n"+12`

`="x"^(8"n"+11-8"n"-12)="x"^-1`

`=1/"x"`

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More About Exponents
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Chapter 2: Exponents - Exercise 2 (B) [Page 34]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 2 Exponents
Exercise 2 (B) | Q 14.2 | Page 34
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