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Express the Following Rational Numbers with a Positive Exponent: { ( 3 2 ) 4 } − 2 - Mathematics

Sum

Express the following rational numbers with a positive exponent:

\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2}\]
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Solution

\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2} \]
\[ = \left( \frac{3}{2} \right)^{4 \times - 2} \]
\[ = \left( \frac{3}{2} \right)^{- 8} \]
\[ = \left( \frac{2}{3} \right)^8\]  → ((am)n = amn)

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 2 Powers
Exercise 2.2 | Q 6.5 | Page 19
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