GMAT Quantitative: Exponents and Roots 2 — Questions and Answers
Question 1: What is the value of 2^5 · 2^3?
- 2^15
- 2^8 (Correct answer)
- 4^8
- 2^2
Correct answer: 2^8
When multiplying powers with the same base, add the exponents: 5 + 3 = 8.
Question 2: Simplify (3^4) / (3^2).
- 3^2 (Correct answer)
- 3^6
- 3^8
- 1^2
Correct answer: 3^2
When dividing powers with the same base, subtract the exponents: 4 − 2 = 2.
Question 3: What is (5^2)^3?
- 5^5
- 5^6 (Correct answer)
- 5^8
- 5^9
Correct answer: 5^6
A power raised to a power multiplies the exponents: 2 × 3 = 6.
Question 4: Evaluate 7^0.
- 0
- 1 (Correct answer)
- 7
- Undefined
Correct answer: 1
Any nonzero base raised to the zero power equals 1.
Question 5: What is the value of 4^(-2)?
- -16
- -8
- 1/16 (Correct answer)
- 16
Correct answer: 1/16
A negative exponent gives the reciprocal: 4^(-2) = 1/4^2 = 1/16.
Question 6: Simplify √(49).
- 5
- 6
- 7 (Correct answer)
- 9
Correct answer: 7
The principal square root of 49 is 7 because 7 × 7 = 49.
Question 7: What is √(50) in simplest radical form?
- 5√2 (Correct answer)
- 2√5
- 25√2
- 10√5
Correct answer: 5√2
√50 = √(25·2) = 5√2.
GMAT Quantitative: Exponents and Roots 2
What is the value of 2^5 · 2^3?