55.2k views
3 votes
Choose the correct simplification of the expression the quantity a to the 2nd power over b to the 3rd power all raised to the 4th power.

a to the 6th power over b to the 7th power
b12
a8b15
the quantity a to the 8th power over b to the 12th power

User Partizanos
by
8.5k points

2 Answers

6 votes

the answer to this problem is the last one (D)


User Dobeerman
by
8.4k points
4 votes
(a²/b³)^4

(a²)^4 ⇒ 2 x 4 = 8 = a^8
(b³)^4 ⇒ 3 x 4 = 12 = b^12

(a²/b³)^4 = a^8 / b^12

the quantity a to the 8th power over b to the 12th power
User Aviel Fedida
by
8.6k points