Question

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

Answer 1

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