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Bunuel
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vasu1104
@bunuel please share the method for solving these type of que?
thank you in advance
Which of the following is closest to \(11^5*9^5–7*10^7?\)

A. \(10^2\)
B. \(10^7\)
C. \(10^8\)
D. \(10^9\)
E. \(10^{10}\)

\(11^5*9^5 = (11 * 9)^5 = 99^5 \approx (10^2)^5 = 10^{10}\)

Now compare the subtraction term:

7 * 10^7 is three orders of magnitude smaller than 10^10, so it does not materially change the size.

Thus the entire expression is still closest to 10^10.

Answer: E.


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