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Q. \( \left[\{(1/7^2)^{-2}\}^{-\frac{1}{3}}\right]^{\frac{1}{4}} = 7^m \)
(a) \( -\frac{1}{3} \) (b) \( \frac{1}{4} \) (c) -3 (d) 2
✏️ Solution
\( \frac{1}{7^2} = 7^{-2} \)
\( (7^{-2})^{-2} = 7^{4} \)
\( (7^{4})^{-1/3} = 7^{-4/3} \)
\( (7^{-4/3})^{1/4} = 7^{-4/12} \)
\( = 7^{-1/3} \)
\( m = -\frac{1}{3} \)
Correct Option: (a) \( -\frac{1}{3} \)
\( \boxed{-\frac{1}{3}} \)