Question

simplify (256)3/4×(1024)-3/10×(243)2/5​

Answer 1

Step-by-step explanation:

SIMPLIFICATION

------------------------------

\begin{gathered} \frac{(25) {}^{ \frac{3}{2} }{\times (243) {}^{ \frac{3}{5} } } }{(16) {}^{ \frac{5}{4} } \times (8) {}^{ \frac{4}{3} } } \\ \\ = > \frac{(5) {}^{2 \times \frac{3}{2} } \times (3) {}^{5 \times \frac{3}{5} } }{(2) {}^{4 \times \frac{5}{4} } \times (2) {}^{3 \times \frac{4}{3} } } \\ \\ = > \frac{(5) {}^{3} \times (3) {}^{3} }{(2) {}^{5 + 4} } \\ \\ = > \frac{125 \times 27}{(2 ){}^{9} } \\ \\ = > \frac{3375}{512} \end{gathered}(16)45×(8)34(25)23×(243)53=>(2)4×45×(2)3×34(5)2×23×(3)5×53=>(2)5+4(5)3×(3)3=>(2)9125×27=>5123375

HOPE IT HELPS