Let’s test your exponent skills — a quick DAT-style math question straight from the Math Destroyer team.
Which of the following is equivalent to
{[1/x1/3]3n}1/n\{[1/x^{1/3}]^{3n}\}^{1/n}{[1/x1/3]3n}1/n
A) 1/x
B) x
C) x²
D) 1/x²
E) x³
Answer: A) 1/x
Solution:
{[1/x1/3]3n}1/n=[x−1/3]3n/n=x−1=1x\{[1/x^{1/3}]^{3n}\}^{1/n}= [x^{-1/3}]^{3n/n}= x^{-1}= \frac{1}{x}{[1/x1/3]3n}1/n=[x−1/3]3n/n=x−1=x1
Remember — always apply exponent rules carefully before simplifying!
📘 More high-yield math practice in the Math Destroyer:
👉 2025 Math Destroyer | 720 DAT & OAT Quantitative Reasoning Questions
#DATDestroyer #OATDestroyer #MathDestroyer #DATPrep #OATPrep #Exponents #DrJimRomano
Which of the following is equivalent to
{[1/x1/3]3n}1/n\{[1/x^{1/3}]^{3n}\}^{1/n}{[1/x1/3]3n}1/n
A) 1/x
B) x
C) x²
D) 1/x²
E) x³
Answer: A) 1/x
Solution:
{[1/x1/3]3n}1/n=[x−1/3]3n/n=x−1=1x\{[1/x^{1/3}]^{3n}\}^{1/n}= [x^{-1/3}]^{3n/n}= x^{-1}= \frac{1}{x}{[1/x1/3]3n}1/n=[x−1/3]3n/n=x−1=x1
Remember — always apply exponent rules carefully before simplifying!
📘 More high-yield math practice in the Math Destroyer:
👉 2025 Math Destroyer | 720 DAT & OAT Quantitative Reasoning Questions
#DATDestroyer #OATDestroyer #MathDestroyer #DATPrep #OATPrep #Exponents #DrJimRomano
