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Q. Assertion–Reason Type Question
Statement-1: \( \left[ \{(1/7^2)^{-2}\}^{-1/3} \right]^{1/4} = 7^{-1/3} \)
Statement-2: \( ((a^m)^n)^s = a^{mns},\ a>0 \)
✏️ Solution
\( \frac{1}{7^2} = 7^{-2} \)
\( (7^{-2})^{-2} = 7^4 \)
\( (7^4)^{-1/3} = 7^{-4/3} \)
\( (7^{-4/3})^{1/4} = 7^{-4/12} = 7^{-1/3} \)
So Statement-1 is TRUE
Statement-2 is also TRUE (law of exponents)
Statement-2 correctly explains Statement-1
Correct Option: (a)
\( \boxed{\text{(a)}} \)