Question

Упростить: (b^2*√b)^(1/5)*(b^3*√b)^(1/7)

Answer 1

$(b^2sqrt{b})^{ frac{1}{5} }cdot (b^3sqrt{b})^{ frac{1}{7} }=(b^2cdot b^{frac{1}{2} })^{ frac{1}{5} }cdot (b^3cdot b^{ frac{1}{2} })^{ frac{1}{7} }=\\=(b^{frac{5}{2}})^{ frac{1}{5} }cdot (b^{ frac{7}{2} })^{ frac{1}{7} }=b^{ frac{1}{2} }cdot b^{ frac{1}{2} }=b$