Page 12 - Ebook Interaktif Bilangan Berpangkat

Operasi Bilangan Berpangkat

Perhatikan contoh soal berikut
Sederhanakan bentuk bilangan berpangkat berikut!
2
1. 10 x 10 5
2
5
10 x 10 = (10 x 10) x (10 x 10 x 10 x 10 x 10)
= 10 x 10 x 10 x 10 x 10 x 10 x 10
= 10 7
7
2. m x m 6
7
6
m x m = (m x m x m x m x m x m x m) x (m x m x m x m x m x m)
= m x m x m x m x m x m x m x m x m x m x m x m x m
= m 13
3
3. 2 /2 5
3
5
2 /2 = (2 x 2 x 2)/(2 x 2 x 2 x 2 x 2)
= 1/(2 x 2)
= 1/2 2
5
4. s /s 2
2
5
s /s = (s x s x s x s x s)/(s x s)
= s x s x s
= s 3
3 2
5. ((-1,2) )
3
3 2
((-1,2) ) = (-1,2) x (-1,2) 3
= ((-1,2) x (-1,2) x (-1,2)) x ((-1,2) x (-1,2) x (-1,2))
= (-1,2) x (-1,2) x (-1,2) x (-1,2) x (-1,2) x (-1,2)
= (-1,2) 6
6. (p x q) 4
4
(p x q) = (p x q) x (p x q) x (p x q) x (p x q)
= p x q x p x q x p x q x p x q
= p x p x p x p x q x q x q x q
= (p x p x p x p) x (q x q x q x q)
4
= p x q 4
2
3
7. (2 x (-3) ) 3
3
3
2
2
2
3
3
2
3
(2 x (-3) ) = (2 x (-3) ) x (2 x (-3) ) x (2 x (-3) )
3
2
3
2
3
= 2 x (-3) x 2 x (-3) x 2 x (-3) 2
2
3
3
2
3
= 2 x 2 x 2 x (-3) x (-3) x (-3) 2
6
9
= 2 x (-3) (mengapa?)
2 5
8. (3 /y ) 2
2
2 5
2 5
2 5
(3 /y ) = (3 /y ) . (3 /y )
2 2
5 5
= (3 .3 )/(y . y )
4 10
= 3 /y (mengapa?)