Question

Find the product.

(-5a ^2)^3·a ^5

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

Answer 1

B) -125a^11

Explanation:

Answer 2

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)