Penjelasan dengan langkah-langkah:

Bilangan Berpangkat

a^m × a^n = a^(m + n)

a^m : a^n = a^(m - n)

(a^m)^n = a^(mn)

.....

a).

• 3² × 3³ = 3²+³ = 3⁵ = 243

• 4⁷ : 4³ = 4⁷-³ = 4⁴ = 256

• 6³ × 6² : 6⁴ = 6³+²-⁴ = 6¹ = 6

• 5³ × 5² : 5⁴ = 5³+²-⁴ = 5¹ = 5

• 7⁹ : 7⁴ × 7³ = 7⁹-⁴+³ = 7⁸

• 3⁷ : (3⁴ × 3²) = 3⁷ : 3⁶ = 3⁷-⁶ = 3¹ = 3

.....

b).

• (2⁴)³ = 2⁴׳ = 2¹²

• (3² × 3⁴)³ = 3⁶ × 3¹² = 3⁶+¹² = 3¹⁸

• (7⁹ : 7⁴)³ = (7⁹-⁴)³ = (7⁵)³ = 7¹⁵

.....

c).

64 ; 2³ = 2ⁿ

2⁶ : 2³ = 2ⁿ

2⁶-³ = 2ⁿ

2³ = 2ⁿ ---> nilai n = 3

.....

d).

2⁹⁹ dan 3⁶⁶ > mana nilai yang terbesar

• 2⁹⁹ = 2^(3 . 33) = (2³)³³ = 8³³

• 3⁶⁶ = 3^(2 . 33) = (3²)³³ = 9³³

3⁶⁶ lebih besar dari 2⁹⁹ atau 3⁶⁶ > 2⁹⁹