byRituparna Nath Content Writer at Study Abroad Exams
Question: If n = 3, what is the value of 2^2n+1?
- 9
- 13
- 17
- 33
- 65
‘ If n = 3, what is the value of 2^2n+1?’ is the topic from GMAT Quantitative problem set. GMAT quantitative reasoning section tests the candidate's ability to solve mathematical and quantitative problems, interpret graph data, and mathematical reasoning. The quantitative section of the GMAT exam consists of 31 questions. This topic from the Problem-solving section has five options to answer from. The candidate has to choose the correct option from the given options.
Solution and Explanation
Approach Solution 1
Explanation:
Given to us in the question, the value of n is 3.
It has asked to calculate the value of \(2^{2n}\)+ 1
Given n = 3,
Firstly the exponent is 2n,
The value of 2n = 2 *3 = 6
Putting the value of 2n in the equation
\(2^{2n}\)+ 1
=> \(2^6\)+ 1
\(2^6\)= 2 * 2 * 2 *2 * 2*2 = 64
The value of 2^6 is 64.
The value of 2^6 + 1 = 64 + 1 = 65
Therefore the correct option will be 65.
Correct Answer: E
Approach Solution 2
Given to us in the question, the value of n is 3.
It has asked to calculate the value of \(2^{2n}\)+ 1
Given n = 3,
Putting the value of n in the equation
\(2^{2n}\)+ 1
=> \(2^{2*3}\) + 1
\(2^3\)*\(2^3\)+1
The value of 2^3 = 8
=> 8*8 + 1 = 64 + 1
Therefore the correct option will be 65.
Correct Answer: E
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