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Assuming 2^10 is approximately 1000, which one of the following best approximates 2^40? A. 4000 B. 10,000,000 C. 10^12 D. 1000^30
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think of how to represent \(2^{40}\) in terms of \(2^{10}\)
using this rule:\[(x^a)^b=x^{ab}\]
1000^4?
thats it!
Which of my multiple choice answers would match that though?
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now do the same with 1000. write it as \(10^a\) - what should 'a' be equal to here?
10^3
perfect! so now you have:\[1000^4=(10^3)^4=???\]
use the same rule
Ah. My answer is C. 10^12. That was easy. Thank you so much!
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great! and yw :)
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