Advanced MathEasy–MediumExponent after a quotient is squared
Advanced Math practice question
For x > 0, (x⁵/x²)² = xⁿ. What is the value of n?
Answer: 6
x⁵/x² = x³, and (x³)² = x⁶. So n = 6.
Common wrong answers
- If you answered 3
- 3 forgets to square.
- If you answered 5
- 5 comes from (5/2) × 2, dividing the exponents instead of subtracting.
- If you answered 9
- 9 adds 3 + 6, or squares the wrong thing.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.