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# Which of the following options is closest to (3^10)(33^10)?

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Re: Which of the following options is closest to (3^10)(33^10)? [#permalink]
Bunuel
Which of the following options is closest to $$(3^{10})(33^{10})$$?

A. $$10^{10}$$

B. $$10^{14}$$

C. $$10^{18}$$

D. $$10^{20}$$

E. $$10^{22}$$

We can simplify the stem as:

3^10 x 3^10 x 11^10 = 9^10 x 11^10

Thus, the approximate value is 10^10 x 10^10 = 10^20.