GMAT Quantitative: Exponents and Roots 3 — Questions and Answers
Question 1: What is the value of (x^3 · x^4) / x^2?
- x^5 (Correct answer)
- x^6
- x^9
- x^24
Correct answer: x^5
Add exponents in the numerator (3+4=7), then subtract 2: x^5.
Question 2: Simplify (2x^2)^3.
- 2x^6
- 6x^6
- 8x^5
- 8x^6 (Correct answer)
Correct answer: 8x^6
Raise both the coefficient and variable: 2^3 = 8 and (x^2)^3 = x^6.
Question 3: What is the value of 9^(1/2)?
- 3 (Correct answer)
- 4.5
- 18
- 81
Correct answer: 3
An exponent of 1/2 means the square root, and √9 = 3.
Question 4: Evaluate 8^(2/3).
- 2
- 4 (Correct answer)
- 16
- 64
Correct answer: 4
8^(1/3) = 2, then squared gives 4.
Question 5: What is √(3) · √(12)?
- 6 (Correct answer)
- √15
- 36
- 4√3
Correct answer: 6
√3 · √12 = √36 = 6.
Question 6: Which is equal to 16^(3/4)?
- 6
- 8 (Correct answer)
- 12
- 64
Correct answer: 8
16^(1/4) = 2, then 2^3 = 8.
Question 7: Simplify (a^5)(a^(-3)).
- a^(-15)
- a^2 (Correct answer)
- a^8
- a^(-2)
Correct answer: a^2
Add the exponents: 5 + (−3) = 2.
GMAT Quantitative: Exponents and Roots 3
What is the value of (x^3 · x^4) / x^2?