[Kunci Jawaban] Tuliskan hasil perpangkatan berikut ini: a. 1/2 (6^3 – 4^2) b. 8 + 3 x (–3)^4 c. (6^4

Wednesday, 19 July 2017

[Kunci Jawaban] Tuliskan hasil perpangkatan berikut ini: a. 1/2 (6^3 – 4^2) b. 8 + 3 x (–3)^4 c. (6^4 – 4^4)

Pertanyaan:

15. Tuliskan hasil perpangkatan berikut ini:
a. 1/2 (6³ – 4²)
b. 8 + 3 x (–3)4
c. (6⁴ – 4⁴)

(Soal No. 15 Uji Kompetensi Bab Perpangkatan dan Bentuk Akar Buku BSE Matematika Kurikulum 2013 Semester 1 Kelas 9, Kemendikbud)

Jawaban:

a. 1/2 (6³ – 4²)
= 1/2 ((6 x 6 x 6) – (4 x 4))
= 1/2 (216 – 16)
= 1/2 (200)
= 100

b. 8 + 3 x (–3)4
= 8 + 3 x ((–3) x (–3) x (–3))
= 8 + 3 x 81
= 8 + 243
= 251

c. (6⁴ – 4⁴)
= ((6 x 6 x 6 x 6) – (4 x 4 x 4 x 4))
= 1.296 – 256
= 1.040