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# Which of the following is closest to

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Re: Which of the following is closest to [#permalink]
Bunuel wrote:
Which of the following is closest to $$\frac{(1+10^{26})}{(5^4+10^{10})}$$?

A. $$10^{15}$$

B. $$10^{16}$$

C. $$10^{17}$$

D. $$10^{18}$$

E. $$10^{19}$$

The fraction is $$\frac{(1+10^{26})}{(5^4+10^{10})}$$

= $$\frac{(1+5^{26}*2^{26})}{(5^4+5^{10}*2^{10})}$$

≈ $$\frac{(5^{26}*2^{26})}{(5^4+5^{10}*2^{10})}$$

≈ $$\frac{(5^{22}*2^{26})}{(1+5^{6}*2^{10})}$$

≈ $$\frac{(10^{22}*2^{4})}{(1+10^{6}*2^{4})}$$

≈ $$\frac{(10^{22}*2^{4})}{(10^{6}*2^{4})}$$

≈ $$\frac{(10^{22})}{(10^{6})}$$

≈ $$(10^{16})$$

Option B
Re: Which of the following is closest to [#permalink]
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