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Find X, If ( 2 5 ) − 3 × ( 2 5 ) 15 = ( 2 5 ) 2 + 3 X - Mathematics

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Question

Find x, if

\[\left( \frac{2}{5} \right)^{- 3} \times \left( \frac{2}{5} \right)^{15} = \left( \frac{2}{5} \right)^{2 + 3x}\]
Sum

Solution

We have:

\[\left( \frac{2}{5} \right)^{- 3} \times \left( \frac{2}{5} \right)^{15} = \left( \frac{2}{5} \right)^{2 + 3x}\]

\[\left( \frac{2}{5} \right)^{12} = \left( \frac{2}{5} \right)^{2 + 3x}\]

12 = 2 + 3x

10 = 3x

`10/3=x`

`x=10/3`

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Chapter 2: Powers - Exercise 2.2 [Page 19]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.2 | Q 12.4 | Page 19

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