Full Pembahsan Soal Matematika Kelas 9 SMP MTs Semester 1 K13 dan Kunci Jawaban Halaman 20 21 22

2. Nyatakan perpangkatan berikut dalam bentuk paling sederhana.

a. 4³×2⁶

Jawaban:
= 4³×2×2×2×2×2×2
= 4³×4×4×4
= 4³×4³
= 4³⁺³ = 4⁶ atau = (2²)⁶ = 2¹²

b. (3²)⁵×3⁵

Jawaban:
= 3¹⁰x3⁵
= 3¹⁰⁺⁵
= 3¹⁵

c. 4×3⁴+5×3⁴

Jawaban:
= (4×3⁴)+(5×3⁴)
= 3⁴×(4+5)
= 3⁴×9
= 3⁴×3²
= 3⁴⁺²
= 3⁶

d. (-125)×(-5)⁶

Jawaban:
= (-5)³×(-5)⁶
= (-5)³⁺⁶
= (-5)⁹

3. Tentukan nilai x yang memenuhi persamaan berikut ini.