Which is bigger? 2^14 + 2^15 or 2^16?

[Guest]

Which is bigger? 2^14 + 2^15 or 2^16?

I would say 2^15. Am I right?

 

[stapel]

Is "2¹⁵" an option? From what you have posted, it appears that your choices are "2¹⁴ + 2¹⁵" and "2¹⁶". Is this incorrect?

When you reply, please include your work and reasoning. Thank you.

Eliz.

 

[skeeter]

that's not what the question asked.
the question is which value is greater ...
(2^14 + 2^15) ... or ... 2^16

2^14 + 2^15 =
2^14 + 2*2^14 =
2^14(1 + 2) = 3*2^14

2^16 = 2^2*2^14 = 4*2^14

so ... which is greater?