Question

Обчисліть $\frac{3^{\frac{1}{3} } }{9^{\frac{5}{12} } } *\sqrt{27}$

Answer 1

Ответ:  3 .

Объяснение:

  [ 3^(1/3)/9^(5/12) ] *√27 = [ 3^(1/3)/( 3²)^(5/12) ] * 3^(3/2) = [3^(1/3)/3^(5/6) ] X

X 3^(3/2) = 3^(1/3 + 3/2 - 5/6) = 3^(6/6) = 3¹ = 3 .