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Given:
- If (a^3 × a^-5)² = 81.
To Find:
- The value of a .
Answer:
Taking the given equation,
=> ( a^3 × a^-5 )² = 81.
=> ( a^3 × a^-5 ) ² = 9².
=> ( a^3 × a^-5 ) = 9.
=> a^ ( 3-5) = 9.
=> a^-2 = 9.
=> 1/a² = 3².
=> 1/a = 3
=> a = 1/3.
Hence the value of a is 1/3.
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