Hasil dari 8 pangakat -2/3 + 27 pangkat -1/3 adalah... a. -7/12 b. 1/12 c. 1/7 d. 7/12

Bab Eksponensial
Matematika SMP Kelas IX

^ = pangkat

8^(-2/3) + 27^(-1/3)
= (2^3)^(-2/3) + (3^3)^(-1/3)
= 2^(-2) + 3^(-1)
= 1/4 + 1/3
= 3/12 + 4/12
= 7/12

✩✩ D ✩✩

[tex]8^{-2/3} + 27^{-1/3} [/tex]
[tex](2^{3})^{-2/3} + (3^{3})^{-1/3} [/tex]

Ingat ! 
[tex](a^{m})^{n} = a^{m x n} [/tex]

jadi,

[tex]2^{-2} + 3^{-1} [/tex]

Ingat ! 
[tex] a^{-m} = \frac{1}{a^{m} } [/tex]

jadi,

= 1/4 + 1/3
= 3 + 4/12
= 7/12