Problem Solving (PS) | Re: The value of (8^4 + 8^16)/(4^8 + 16^8) is

 

­Here is a video on how exponents are placed on the number line: https://youtu.be/0rpppnnJNRs
It shows you the relative value of exponents. And here is a video on Estimation: https://youtu.be/4Wy7BrQrjkM

\(\frac{ 8^4 + 8^{16}}{4^8 +16^8}\) 

\(\frac{ 2^{12} + 2^{48}}{2^{16} +2^{32}}\)  (Bringing everything in terms of 2)

The moment you see this expression and look at the options, you should be able to say that 2^12 is extremely small compared to 2^48 so it can be ignored. Also 2^16 is extremely small compared to 2^32 and hence should be ignoredtoo. 

\(\frac{2^{48}}{2^{32}} = 2^{16} = 2^{10}*2^6 = 1000 * 64 =64000\) (approximately)
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Statistics : Posted by KarishmaB • on 29 Dec 2023, 08:27 • Replies 6 • Views 3849

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