Question

Sederhanakan perpangkatan berikut ini​

Answer 1

Penjelasan dengan langkah-langkah:

a. (-4)⁵/(-4)² = (-4)^5-2 = (-4)³ = -64

b. (-4)⁶/(-4)² = (-4)^6-2 = (-4)⁴ = 256

c. 0,3⁷/0,3³ = 0,3^7-3 = 0,3⁴ = 3⁴/10⁴= 0,0081

d. (2/5)⁹/(2/5)⁵

= (2/5)^9-5

= (2/5)⁴

= 2⁴/5⁴

= 16/625

= 0.0256

e. 3⁷×3²/3³ = 3^7+2-3 = 3⁶ = 729

f. 5⁵/5²×5³ = 5^5-(2+3) = 5⁰ = 1

g. 2⁷×6⁷/4⁷

= 2⁷ × (2×3)⁷ / 2^7×2

= 2⁷ × 2⁷ × 3⁷ / 2¹⁴

= 2¹⁴ × 3⁷ / 2¹⁴

= 2⁰ × 3⁷

= 3⁷

= 2.187

h. 6⁷× 3³ / 2⁷

= (2×3)⁷ × 3³ / 2⁷

= 2⁷ × 3⁷ × 3³ / 2⁷

= 2⁰ × 3¹⁰

= 3¹⁰

= 59.049

i. 10⁶×4² / 25³×8³

= (2×5)⁶ × 2⁸ / 5⁶ × 2⁹

= 2⁶ × 5⁶ × 2⁸ / 5⁶ × 2⁹

= 2^6+8-9 × 5⁰

= 2⁵ × 5⁰

= 2⁵

= 3.125

j. 21⁵/9² : (7/2)²

= (3×7)⁵/3⁴ : 7²/2²

= 3⁵×7⁵/3⁴ × 2²/7²

= 2² × 3¹ × 7³

= 4 × 3 × 343

= 4.116