Which of the following expresses \(3^4 \times 25^6 \times 2^{12}\) in scientific notation?

[Gmat_mission]

Which of the following expresses \(3^4 \times 25^6 \times 2^{12}\) in scientific notation?

A. \(1.2 \times 10^{12}\)
B. \(8.1 \times 10^{12}\)
C. \(8.1 \times 10^{13}\)
D. \(1.5 \times 10^{22}\)
E. \(1.2 \times 10^{24}\)

Answer: C

Source: Princeton Review

[Scott@TargetTestPrep]

Which of the following expresses \(3^4 \times 25^6 \times 2^{12}\) in scientific notation?

A. \(1.2 \times 10^{12}\)
B. \(8.1 \times 10^{12}\)
C. \(8.1 \times 10^{13}\)
D. \(1.5 \times 10^{22}\)
E. \(1.2 \times 10^{24}\)

Answer: C

Solution:

A number is in scientific notation if it’s expressed in the form of a x 10^n where 1 ≤ a < 10 and n is an integer.

3^4 x 25^6 x 2^12

81 x 5^12 x 2^12

81 x 10^12

8.1 x 10^13

Answer: C