8x^-2/3 + 5x^1/3 + 3x^0, bila x=8 maka hasilnya?

Bab Eksponensial
Matematika SMA Kelas X

8x^(-2/3) + 5x^(1/3) + 3x^0
= 8 . 8^(-2/3) + 5 . 8^(1/3) + 3 . 8^0
= 8 . 2^(3 . -2/3) + 5 . 2^(3 . 1/3) + 3 . 1
= 2³ . 2⁻² + 5 . 2¹ + 3
= 2³⁻² + 10 + 3
= 2¹ + 13
= 15

[tex]\displaystyle f(x)=8x^{-\frac23}+5x^\frac13+3x^0\\f(8)=8(8)^{-\frac23}+5(8)^\frac13+3(8)^0\\f(8)=8(2^{3\cdot(-\frac23)})+5(2^{3\cdot\frac13})+3(8)^0\\f(8)=8(2^{-2})+5(2)+3(1)\\f(8)=8\cdot\frac14+10+3\\\boxed{\boxed{f(8)=15}}[/tex]