Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the value of $(2^2 +1) (2^4+1)(2^8+1)(2^{16}+1) ........(2^{128} + 1 ) ?$

Options:

$\frac{2^{256}-1}{2}$

$\frac{2^{256}-1}{3}$

$2^{256}-1$

$\frac{2^{256}-1}{4}$

Correct Answer:

$\frac{2^{256}-1}{3}$