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Write the Following in Exponential Form: ( 3 2 ) − 1 × ( 3 2 ) − 1 × ( 3 2 ) − 1 × ( 3 2 ) − 1 - Mathematics

Sum

Write the following in exponential form:

\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1}\]
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Solution

\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} = \left( \frac{3}{2} \right)^{- 1 + \left( - 1 \right) + \left( - 1 \right) + \left( - 1 \right)} \left\{ a^m \times a^n = a^{m + n} \right\}\]
\[ = \left( \frac{3}{2} \right)^{- 4} \]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 2 Powers
Exercise 2.2 | Q 1.1 | Page 18
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