35 cube root of 54x50 37 cube root of 56x7y5z3 39 cube root

35. cube root of (54x^50)

37. cube root of (56x^7y^5z^3)

39. cube root of (3/8)

59. 4th root of (a^2)

Solution

35. The cube root of 54x⁵⁰ is (54x⁵⁰)^1/3 = [2*3³ (x¹⁶)³ * x²]^1/3 = 3x¹⁶( 2)^1/3 x^2/3

37. The cube root of 56x⁷y⁵z³ is (56x⁷y⁵z³ )^1/3 = [ 7*2³( x²)³y³z³( xy²)]^1/3 = 2x²yz( 7)^1/3x^1/3y^2/3

39. The cube root of 3/8 is (3/8)^1/3 = (3/2³)^1/3 = 1/2(3)^1/3

59. the 4^th root of a² is ( a²)^1/4 = a^2*1/4 = a^1/2