Question

Simplify :

(25)
^5⁄2 x (729)^
1⁄2÷
(125)
^2⁄3 x (27)
^2⁄3 x (8)
^4⁄3​

Answer 1

Answer:

$\frac{ {25}^{ \frac{5}{2} } \times {729}^{ \frac{1}{2} } }{ {125}^{ \frac{1}{3} } \times {27}^{ \frac{2}{3} } \times {8}^{ \frac{4}{3} } } \\ = \frac{ {5}^{5} \times 27}{5 \times {3}^{2} \times {2}^{4} } \\ = \frac{ {5}^{4} \times 3}{16} \\ = \frac{625 \times 3}{16} \\ = \frac{1875}{16}$