SAT Math Question of the Day

Math Category: Exponents Level 2:

Q: x7 x2 / x3 = ?

  1. x6
  2. x8
  3. x11
  4. x12
  5. x14

UNANSWERED.

The correct answer is A.

A: x6

Remember these exponent rules when the base (x) is the same:

  1. When multiplying, you add the exponents.
    xa xb= xa+b
  2. When dividing, you subtract the exponents.
    xa / xb= xa-b
So, x7 x2 / x3 = x(7 + 2 - 3) = x6

If you forget the exponent rules when you're taking the SAT, just spell out the x's one at a time.
x7 x2 / x3 is seven x's and two more x's on top and three x's on the bottom of the fraction.
xxxxxxx xx / xxx
Then simplify by crossing off an x on top for each x on the bottom of the fraction.
xxxxxx
6 x's make... x6