Question

sederhanakanlah :
a) (x³y⁴z)²
b) (5a²b)⁶ × a³b⁴
c) (2a³b²c⁴)¹⁰ × 2(ab)²
d) 10(a²b³)⁴ × (10b²)³
e) (⅖ab)⁵ ÷ (⅓ab)³​

Answer 1

a. (x^3 y^4 z)^2

= x^6 y^8 z^2

b. (5a^2 b)^6 × a^3 b^4

= 5a^12 b^6 × a^3 b^4

= 5a^15 b^10

c. (2a^3 b^2 c^4)^10 × 2(ab)^2

= 2a^30 b^20 c^40 × 2a^2 b^2

= 4a^32 b^22 c^40

d. 10(a^2 b^3)^4 × (10b^2)^3

= 10a^8 b^12 × 10b^6

= 10a^8 10b^18

e. (2/5ab)^5 : (1/3ab)^5

= 1/(2/5ab)^-5 : 1/(1/3ab)^-5

= (5ab/2)^-5 : (3ab)^-5

= 5ab/2 : 3ab

= 5ab/2 × 1/3ab

= 5ab/6ab

= 5/6