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1.2.3 Indeks, Praktis Berformat PT3


Soalan 9:
Diberi bahawa 8×8p+1=(85)(83), cari nilai bagi p.

Penyelesaian:
8×8p+1=(85)(83)81+p+1=85+32+p=8p=6

Soalan 10:
Diberi bahawa 25×27210=2p, cari nilai bagi p.

Penyelesaian:
25×27210=2p25+710=2p22=2pp=2

Soalan 11:
Permudahkan: 12p10q63p4q2×(4pq3)2

Penyelesaian:
12p10q63p4q2×(4pq3)2=12p10q63p4q2×16p2q6  =121p1042q62631×164  =p4q24  =p44q2

Soalan 12:
Permudahkan: ab2×(8a3b6)13(a2b4)12

Penyelesaian:
ab2×(8a3b6)13(a2b4)12=ab2×(813a3(13)b6(13))a2(12)b4(12)   =ab2×2ab2ab2   =2ab2

Soalan 13:
Selesaikan: 32n+1=3n×9(912)3

Penyelesaian:
32n+1=3n×9(912)332n+1=3n×323332n+1=3n+2(3)2n+1=n+5   n=4

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