SAT Math Question of the Day

Math Category: Applied Arithmetic:

Q: (2x2y)(-3x4y2) =

  1. -6x8 y2
  2. -6x6 y3
  3. -2x2 y2
  4. -x2 y3
  5. 2x6 y2

UNANSWERED.

The correct answer is B.

A: -6x6 y3 is the right answer.

(2x2y)(-3x4y2) = 2(-3)x2x4yy2
= -6(x2+4)(y1+2)
= -6(x6)(y3)

Or expand, if you forget the exponent rules.
(2x2y)(-3x4y2) = (2xxy)(-3xxxxyy)
= -6xxxxxxyyy
Then count up the number of x's and y's
= -6x6y3