Penjelasan dengan langkah-langkah:
1) 64^½ x 32^3/5
= (8²)^½ x (2^5)^3/5
= 8^(2x½) x 2^(5 x 3/5)
= 8^(2/2) x 2^(15/5)
= 8¹ x 2³
= 8 x 8
= 64
2) ?
3) 24/√3 = 24/√3 x √3/√3
= (24√3)/(√3x3)
= (24√3)/√9
= (24/3)√3
= 8√3
4) Jumlah = (2+5) x 120.000/(5–2)
= 7 x 120.000/3
= 7 x 40.000
= Rp. 280.000,oo
5) B + S = 36 → S = 36 – B
4B – 2S = 128
4B – 2(36 – B) = 128
4B – 72 + 2B = 128
6B = 128 + 72
6B = 200
B = 200/6
B = 33 soal
6) 10 x 64 = 8 x (64 + p)
640 = 512 + 8p
8p = 640–512
p = 128/8
p = 16 orang tambahan pekerja
7) Barisan –5, –2, 1, 4, ...
a = –5
b = 4–1 = 3
U50 = a + (50–1)b
U50 = –5 + 49x3
U50 = 50x3 –8
U50 = 150 – 8
U50 = 142
8) Panjang tali mula² = 5 x (40 + 80)/2
= 5 x 120/2
= 5 x 60
= 300 cm
= 3 meter
9) Harga beli = 16.200.000/(100–10)%
= 16.200.000/90%
= 16.200.000/90 x 100
= 180.000 x 100
= Rp. 18.000.000,oo
10) (2a – 3b)(2a + 5b)
= 2a(2a + 5b) – 3b(2a + 5b)
= 4a² + 10ab – 6ab – 15b²
= 4a² + 4ab – 15b²
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Penjelasan dengan langkah-langkah:
1) 64^½ x 32^3/5
= (8²)^½ x (2^5)^3/5
= 8^(2x½) x 2^(5 x 3/5)
= 8^(2/2) x 2^(15/5)
= 8¹ x 2³
= 8 x 8
= 64
2) ?
3) 24/√3 = 24/√3 x √3/√3
= (24√3)/(√3x3)
= (24√3)/√9
= (24/3)√3
= 8√3
4) Jumlah = (2+5) x 120.000/(5–2)
= 7 x 120.000/3
= 7 x 40.000
= Rp. 280.000,oo
5) B + S = 36 → S = 36 – B
4B – 2S = 128
4B – 2(36 – B) = 128
4B – 72 + 2B = 128
6B = 128 + 72
6B = 200
B = 200/6
B = 33 soal
6) 10 x 64 = 8 x (64 + p)
640 = 512 + 8p
8p = 640–512
p = 128/8
p = 16 orang tambahan pekerja
7) Barisan –5, –2, 1, 4, ...
a = –5
b = 4–1 = 3
U50 = a + (50–1)b
U50 = –5 + 49x3
U50 = 50x3 –8
U50 = 150 – 8
U50 = 142
8) Panjang tali mula² = 5 x (40 + 80)/2
= 5 x 120/2
= 5 x 60
= 300 cm
= 3 meter
9) Harga beli = 16.200.000/(100–10)%
= 16.200.000/90%
= 16.200.000/90 x 100
= 180.000 x 100
= Rp. 18.000.000,oo
10) (2a – 3b)(2a + 5b)
= 2a(2a + 5b) – 3b(2a + 5b)
= 4a² + 10ab – 6ab – 15b²
= 4a² + 4ab – 15b²