Question

(25)³/² ×(243)⅗
____________
(16)⁵/⁴ ×(8)⁴/³

plss tell te answer plsss​

Answer 1

$\underbrace \text{Answer:-}$

$\tt{i. \: ( {5}^{2} ) ^{ \frac{3}{2} } \times ( {3}^{5} ) ^{ \frac{3}{5} } }$

$\: \: = \tt{5}^{3} \times {3}^{3}$

$\: \: \: = \tt{125 \times 27}$

$\: \: \: \: \: = \tt{ \red{3375}}$

$\tt{ii. \: ( {2}^{4} ) ^{ \frac{5}{4} } \times ( {2}^{3} ) ^{ \frac{4}{3} } }$

$\: \: \: = \tt{ {2}^{5} \times {2}^{4} }$

$\: \: \: \: = \tt { {2}^{5 + 4} }$

$\: \: \: \: \: = \tt \red{ {2}^{9} }or \: \tt \red{512}$