🎥 Watch Video Solution
Q. Simplify \( \left\{\left(\frac{a}{b}\right)^{\sqrt{99}-\sqrt{97}}\right\}^{\sqrt{99}+\sqrt{97}} \)
✏️ Solution
\( = \left(\frac{a}{b}\right)^{(\sqrt{99}-\sqrt{97})(\sqrt{99}+\sqrt{97})} \)
\( = \left(\frac{a}{b}\right)^{99 – 97} \)
\( = \left(\frac{a}{b}\right)^2 \)
Final Answer: \( \boxed{\left(\frac{a}{b}\right)^2} \)