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Simplify: ( 3 2 − 2 2 ) × ( 2 3 ) − 3 - Mathematics

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Question

Simplify:

\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Sum
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Solution

\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\] `=(9-4)xx1/(2/3)^3`   `->(a^(-1)=1/a^n)`

`=5xx1/(8/27)`  `->((a/b)^n=(a^n)/(b^n))`

`5xx27/8`

`=135/8`

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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 5.2 | Page 8

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 Powers Table
x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x
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of the
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1 2, 4, 8, 6                
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