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{ ( 1 3 ) 2 } 4 is Equal to - Mathematics

MCQ
Sum
\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] is equal to

Options

  • \[\left( \frac{1}{3} \right)^6\]

  • \[\left( \frac{1}{3} \right)^8\]

     

  • \[\left( \frac{1}{3} \right)^{24}\]

     

  • \[\left( \frac{1}{3} \right)^{16}\]

     

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Solution

\[\left( \frac{1}{3} \right)^8\]

We have:
\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] `=(1/3)^(2xx4)`  → ( (am)n = amxn)

`=(1/3)^8`

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 2 Powers
Q 10 | Page 23
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