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Simplify: ( 5 − 1 ÷ 6 − 1 ) 3 - Mathematics

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Question

Simplify:

\[\left( 5^{- 1} \div 6^{- 1} \right)^3\]

 

Sum

Solution

`(5^(-1)div6^(-1))^3=(1/5div1/6)^3`   `->(a^(-1)=1/a)`

`=(1/5xx6)^3`

`(6/5)^3`

= \[\frac{\left( 6 \right)^3}{\left( 5 \right)^3}\]                        → ((a/b)n = (an)/(bn) )

= \[\frac{216}{125}\]

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Chapter 2: Powers - Exercise 2.1 [Page 8]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.1 | Q 4.2 | Page 8

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