Which of the following statement is correct?

A) \( \Large 9^{60}<27^{35} \)

B) \( \Large 9^{60} \le 27^{35} \)

C) \( \Large 9^{60}>27^{35} \)

D) \( \Large 9^{60}\ge 27^{35} \)

Correct answer:
C) \( \Large 9^{60}>27^{35} \)

Description for Correct answer:

\( \Large 9^{60}= \left(3^{2}\right)^{60}=3^{120} \)

and \( \Large 27^{35}= \left(3^{3}\right)^{35}=3^{105} \)

\( \Large 9^{60} > 27^{35} \)



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