Question

What is the simplified form of the following exponential expression?
(
−
4
x
3
y
2
)
(
−
3
x
2
y
4
)
2
Select one answer
A
12
x
7
y
10

B
12
x
7
y
8

C
36
x
7
y
10

D
−
36
x
7
y
10

Answer 1

Compute the square first: (-3 x^2 y^4)^2 = 9 x^4 y^8.
Then multiply: (-4 x^3 y^2)(9 x^4 y^8) = -36 x^(3+4) y^(2+8) = -36 x^7 y^10.

Answer: D.