Question

Tentukanhasil dari pembagian berikut!
a. (15a/6b2) : (20a2/24b3)
b. (2x2yz/3a) : (a2/xy2z) : (xyz2/6a4)

tolong dijawab plise

Answer 1

Verified answer

A) (15a / 6b² ) ÷ ( 20a² / 24b³ )
= (15a ) (24b³)
---------------------
( 6b² ) ( 20a² )
= (5a)(3) × (6b²)(4b)
-----------------------------
(5a)(4a) × (6b²)
= 3 × 4b
-------------
4a
= 12b
---------
4a
= (4)(3b)
------------
(4)(a)
= 3b
--------
a

2) (2x²yz / 3a) ÷ (a² / xy²z) ÷ (xyz² / 6a⁴)
= (2x²yz / 3a ) × (xy²z / a² ) × (6a⁴ / xyz²)
= (2x²yz) × (xy²z) × (6a⁴)
-----------------------------------
( 3a ) × ( a²) × (xyz²)
= (2x³y³z²) × (6a⁴)
---------------------------
(3a³) × (xyz²)
= (xyz²)(2x²y²) × (3a³)(2a)
-------------------------------------
( xyz²) × (3a³)
= (2x²y²) × (2a)
= 4ax²y²