Question

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

Answer 1

think of how to represent \(2^{40}\) in terms of \(2^{10}\)

Answer 2

using this rule:\[(x^a)^b=x^{ab}\]

Answer 3

1000^4?

Answer 4

thats it!

Answer 5

Which of my multiple choice answers would match that though?

Answer 6

now do the same with 1000. write it as \(10^a\) - what should 'a' be equal to here?

Answer 7

10^3

Answer 8

perfect! so now you have:\[1000^4=(10^3)^4=???\]

Answer 9

use the same rule

Answer 10

Ah. My answer is C. 10^12. That was easy. Thank you so much!

Answer 11

great! and yw :)