Carcass wrote:
Which of the following options is the approximation of \(9^9\) \(11^{11}\)?
(A) \(10^{12}\)
(B) \(10^{14}\)
(C) \(10^{16}\)
(D) \(10^{20}\)
(E)\( 10^{99}\)
Kudos for the right answer and explanation
\(9^9 \times 11^{11}\) \(= 9^{9} \times 11^{9} \times 11^{2}\)
\(= 99^{9} \times 11^{2}\)
\(≈ 100^{9} \times 10^{2}\)
\(≈ (10^2)^{9} \times 10^{2}\)
\(≈ 10^{18} \times 10^{2}\)
\(≈ 10^{20}\)
Answer: D
_________________
Brent Hanneson - founder of Greenlight Test Prep