Question

Find the product. (-5a ^2)^3·a ^5 A)-15a10 B)-125a11 C)15a6 D)-125a10

Answer 1

Answer:

  B)  -125a^11

Step-by-step 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)

Answer 2

Answer:

 B)  -125a^11

Step-by-step explanation: