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Maharashtra State BoardSSC (English Medium) 7th Standard

Simplify: ((2/5)^-2)^-3 - Marathi (Second Language) [मराठी (द्वितीय भाषा)]

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Question

Simplify:

`((2/5)^-2)^-3`

Simplify

Solution

It is known that (am)n = amn, where m and n are integers and a is a non-zero rational number. 

`((2/5)^-2)^-3`

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

`= (2/5)^6`

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Chapter 6: Indices - Practice Set 29 [Page 48]

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Balbharati Mathematics [English] 7 Standard Maharashtra State Board
Chapter 6 Indices
Practice Set 29 | Q 1.04 | Page 48
Balbharati Integrated 7 Standard Part 2 [English Medium] Maharashtra State Board
Chapter 3.2 Indices
Practice set 29 | Q 1. (iv) | Page 61
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