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Maharashtra State BoardSSC (English Medium) 7th Standard

Simplify: ((2/3)^-4)^5 - Mathematics

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Question

Simplify:

`[(2/3)^-4]^5`

Simplify
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Solution

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

`[(2/3)^-4]^5`

`= (2/3)^(-4 xx 5)`

`= (2/3)^-20`

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

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Balbharati Mathematics [English] Standard 7 Maharashtra State Board
Chapter 6 Indices
Practice Set 29 | Q 1.07 | Page 48
Balbharati Mathematics Integrated [English] Standard 7 Maharashtra State Board
Chapter 6 Indices
Practice set 29 | Q 1. (vii) | Page 61
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