Question

Who is correct? Explain your reasoning.

Alejandra: 2a2b(−2ab3)−2 = (2a2b)(−2ab3)2
= (2a2b)(−2)2a2(b3)2
= (2a2b)22a2b6 = 8a4b7

Kyle: 2a2b(−2ab3)−2=2a2b(−2)−2a(b3)−2
= 2a2b(4ab−6)
= 2a2bb64a
= ab72

Answer 1

In order to get who was right we need to solve the expression:
2a^2b(-2ab^3)^-2
The above can be written as fraction to get:
(2a^2b)/(-2ab^3)^2
=(2a^2b)/(4a^2b^6)
=1/2(a^(2-2)b^(1-6))
=1/2a^0b^-5
=1/2b^(-5)
This implies that neither of the was right