[GMAT math practice question]
What is the value of (2^{2020} + 2^{2018}) / (2^{2020}-2^{2018})?
A. 3/5
B. 5/3
C. 2^{2018}
D. 2^{2019}
E. 2^{2020}
What is the value of (2^{2020} + 2^{2018}) / (2^{2020}-2^{20
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- Max@Math Revolution
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(2²�²� + 2²�¹�)/(2²�²� - 2²�¹�)Max@Math Revolution wrote:[GMAT math practice question]
What is the value of (2^{2020} + 2^{2018}) / (2^{2020}-2^{2018})?
A. 3/5
B. 5/3
C. 2^{2018}
D. 2^{2019}
E. 2^{2020}
= (2²�¹�)(2² + 1) / (2²�¹�)(2² - 1)
= 5/3.
The correct answer is B.
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- Max@Math Revolution
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=>
(2^{2020} + 2^{2018}) / (2^{2020}-2^{2018})
= (2^22^{2018} + 2^{2018}) / (2^22^{2018}-2^{2018})
= (2^{2018})(2^2+1) / (2^{2018})(2^2-1) = (2^2+1) / (2^2-1)
= 5/3
Therefore, the answer is B.
Answer: B
(2^{2020} + 2^{2018}) / (2^{2020}-2^{2018})
= (2^22^{2018} + 2^{2018}) / (2^22^{2018}-2^{2018})
= (2^{2018})(2^2+1) / (2^{2018})(2^2-1) = (2^2+1) / (2^2-1)
= 5/3
Therefore, the answer is B.
Answer: B
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