Question

Вычислите:
$frac{16^{0,4} * 8 ^{frac{1}{3}} }{ 4^{0,3} }$

Answer 1

$frac{16^{0.4}*8^{frac{1}{3}}}{4^{0.3}}=\\frac{(2^4)^{0.4}*(2^3)^{frac{1}{3}}}{(2^2)^{0.3}}=\\frac{2^{4*0.4}*2^{3*frac{1}{3}}}{2^{2*0.3}}=frac{2^{1.6}*2^1}{2^{0.6}}=2^{1.6+1-0.6}=2^{2}=4$