[Eksponen] Jika m > 0 dan m ≠ 1. p bilangan rasional, maka p = ?

Bab Eksponensial
Matematika SMA Kelas X

^ = pangkat

√(m ∛m) = √(m x m^(1/3))
               = √(m^(1 + 1/3)
               = √(m^(4/3)
               = (m^(4/3))^(1/2)
               = m^(2/3)

∛(m √m) = ∛(m x m^(1/2))
               = ∛(m^(1 + 1/2)
               = ∛(m^3/2)
               = (m^(3/2))^(1/3)
               = m^(1/2)

(√m ∛m) / (∛m √m) = m^p
(m^(2/3)) / (m^(1/2)) = m^p
m^(2/3 - 1/2) = m^p
m^(4/6 - 3/6) = m^p
m^(1/6) = m^p
p = 1/6

Jawaban : A

penyelesaian ada pada gambar :)