36.2k views
2 votes
Find the product.

(-5a ^2)^3·a ^5

A)-15a10
B)-125a11
C)15a6
D)-125a10

User Jamila
by
8.5k points

2 Answers

0 votes

Answer:

B) -125a^11

Explanation:

User Drets
by
8.3k points
6 votes

Answer:

B) -125a^11

Explanation:

(-5a^2)^3·a^5 = (-5)^3·a^6·a^5

= (-5)^3·a^(2·3)·a^5

= (-5)^3·a^6·a^5

= -125·a^(6+5)

= -125·a^11 . . . . matches choice B

_____

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)

User Lyricat
by
8.4k points

Related questions

asked Dec 1, 2018 33.2k views
Oddmund asked Dec 1, 2018
by Oddmund
8.2k points
2 answers
5 votes
33.2k views
asked Nov 8, 2021 47.3k views
Jelisa asked Nov 8, 2021
by Jelisa
8.3k points
2 answers
2 votes
47.3k views
1 answer
2 votes
73.8k views