Kunci Jawaban Matematika Kelas 10 Halaman 8 dan 9, Eksponen dan Logaritma

(3π)p = (3π)3

Jadi, nilai p = 3

3. Sederhanakanlah

a. (24 x 36/23 x 32)3

Jawaban:

(24 x 36/23 x 32)3 = (24-3 x 36-2)3

= (21 x 34)3

= 21.3 x 34.3

= 23 x 312

b. (3u3v5) (9u4v)

Jawaban:

(3u3v5) (9u4v) = 3.9 u3+4v5+1

= 31. 32. u3+4 v5+1

= 31+2 . u7v6

= 33. u7v6

c. (n-1r4/5n-6r4)2, n ≠ 0, r ≠ 0

Jawaban:

(n-1r4/5n-6r4)2 = (n-1-(-6)r4-(-4)/5)2

= (n-1+6r4+4/5)2

= (n5r16/5)2

= n10r16/25

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