16Hit 1600
Advanced MathVery hardFractional exponents combined

Advanced Math practice question

For x > 0, the expression (x^(3/2) · x^(5/2)) / x² is equivalent to xⁿ. What is the value of n?

Answer: 2

Add the fractional exponents: 3/2 + 5/2 = 4; then subtract 2 for the division: n = 2.

Common wrong answers

If you answered 4
4 is the exponent before dividing by x²; subtract 2.
If you answered 6
Division subtracts the exponent 2; adding it gives 6, the wrong direction.
If you answered 15/4
The exponents 3/2 and 5/2 add to 4; they are not multiplied.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.