Question

Guys pls help me

I need the answer soon​

Answer 1

$\frac{4^{\frac{5}{2} }}{8^{\frac{3}{5} } }\times 2^{\frac{5}{3} } \\= \frac{(2^2)^\frac{5}{2} }{(2^3)^\frac{3}{5}} \times 2^\frac{5}{3}\\=\frac{2^5\times 2^\frac{5}{3}}{2^\frac{9}{5}}\\\\=\frac{2^{\left(5+\frac{5}{3}\right)}}{2^\frac{9}{5} }\\\\=\frac{2^\frac{15+5}{3}}{2^\frac{9}{5}}\\\\= 2^{(\frac{20}{3}-\frac{9}{5})} \\=2^{(\frac{20\times 5-9\times 3}{15} )}\\= 2^{(\frac{100-27}{15})}\\=2^{(\frac{100-27}{15})}\\=2^{\frac{73}{15}}$

Therefore, the correct option is (b)