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Simplify: ( 2 2 + 3 2 − 4 2 ) ÷ ( 3 2 ) 2 - Mathematics

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Question

Simplify:

\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
Sum

Solution

\[( 2^2 + 3^2 - 4^2 ) \div \left( \frac{3}{2} \right)^2 = (4 + 9 - 16) \times \frac{9}{4}\] `->((a/b)^n=(a^n)/(b^n))`
\[= - 3 \times \frac{4}{9}\]   ...(We know that `1/a div 1/b = 1/a xx b/1`)            
`-4/3`
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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 5.4 | Page 8

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