Question

((3)/(2))^(4)times((1)/(5))^(2)​

Answer 1

$\huge\sf{solution:}$

$\bold{\frac{3} {2}^{4} × \frac{1} {5}^{2}}$

$\implies$ $\frac{3 \times 3 \times 3 \times 3 }{2 \times 2 \times 2 \times 2 } \times \frac{1 \times 1}{5 \times 5}$

$\implies$ $\frac{81}{16} \times \frac{1}{25}$

$\implies$ $\frac{2025}{16}$ is your required answer.