SSC CHSL 2025 PYQ — Question 70

$\begin{aligned} \left(\frac{64}{125}\right)^{\frac23}\times\sqrt[4]{8}\times\left(\frac{8}{27}\right)^{\frac34} &= \frac{2^4}{5^2}\times2^{\frac34}\times\frac{2^{\frac94}}{3^{\frac94}} \\[6pt] &= \frac{2^{4+\frac34+\frac94}}{25\times3^{\frac94}} \\[6pt] &= \frac{2^7}{25\times3^{\frac94}} \\[6pt] &= \frac{128}{25\times3^{\frac94}} \end{aligned}$