SAT Math: Exponentials and Radicals (Drill 3)

About This Drill

SAT Math: Exponentials and Radicals (Drill 3) is a Math practice drill covering Exponentials and Radicals. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT exponential and radical questions test exponent rules, rational exponents, and simplifying radical expressions. This drill covers growth and decay models, converting between radical and exponential notation, and solving equations with fractional exponents.

Questions in This Drill

1. If 3^2x = 81, what is the value of x?
2. Which expression is equivalent to (x⁴y⁶)^1/2?
3. A population of bacteria triples every 5 hours. If the initial population is 200, which function models the population P after t hours?
4. Which of the following is equivalent to x^2/3 · x^1/3?
5. If √5x + 1 = 6, what is the value of x?