Tentukan hasil operasi bilangan berpangkat pecahan berikut.

a. 24, b. 18

Pembahasan

a. (2^3x3^2)^(1/2)x 2^(3/2)
   = (2^(3 * 1/2)) * (3^(2 * 1/2)) * 2^(3/2)
   = 2^(3/2) * 3^1 * 2^(3/2)
   = 2^(3/2 + 3/2) * 3
   = 2^(6/2) * 3
   = 2^3 * 3
   = 8 * 3
   = 24

b. 2^(3/5)x(2x3^5)^2/5
   = 2^(3/5) * (2^(2/5) * (3^5)^(2/5))
   = 2^(3/5) * 2^(2/5) * 3^(5 * 2/5)
   = 2^(3/5 + 2/5) * 3^2
   = 2^(5/5) * 9
   = 2^1 * 9
   = 2 * 9
   = 18