Kunci Jawaban MTK Kelas 9 Halaman 58 59: Uji Kompetensi 1 Pangkat Nol, Pangkat Negatif, Bentuk Akar

Nomor 1

(64² + 16³)/4⁵
= ((2⁶)² + (2⁴)³) / (2²)⁵
= (2¹² + 2¹²) / 2¹⁰
= (2 x 2¹²) / 2¹⁰
= 2¹³ / 2¹⁰
= 2¹³⁻¹⁰
= 2³
= 8

Nomor 2

a. ²√8

= 8¹⸍²
= (2³)¹⸍²
= 2³⸍²

b. ³√27

= 27¹⸍³
= (3³)¹⸍³
= 3³⸍³
= 3¹

Nomor 3

Pembahasan: ((xⁿ⁻¹ yⁿ)³)/(x²ⁿ y⁶⁺ⁿ)
= (x³ⁿ⁻³ y³ⁿ)/(x²ⁿ y⁶⁺ⁿ)
= x³ⁿ⁻³⁻²ⁿ y³ⁿ⁻⁶⁻ⁿ
= xⁿ⁻³ y²ⁿ⁻⁶

maka,
xⁿ⁻³ y²ⁿ⁻⁶ = xᵃyᵇ
a = n-3 dan b = 2n-6
Nilai b/a =
b/a = (2n-6)/(n-3)
b/a = (2(n-3))/(n-3)
b/a = 2

Nomor 4

a. y³ × (3y)²

= y³ × 3² × y²
= 9 × y³⁺²
= 9 y⁵

b. b 2y⁵ × b³ 6 y²