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Algebra Difficulty 2.1 Junior Find the answer

The value of the expression (304)5(29.7)(399)4\frac{(304)^5}{(29.7)(399)^4} is closest to

Pick one

Solution

(304)5(29.7)(399)43005304004=351010344109=341044=810256\frac{(304)^5}{(29.7)(399)^4} \approx \frac{300^5}{30\cdot400^4} = \frac{3^5 \cdot 10^{10}}{3\cdot 4^4 \cdot 10^9} = \frac{3^4\cdot 10}{4^4} = \frac{810}{256}
Which is closest to 3D3\rightarrow\boxed{\text{D}}.
(The original expression is approximately equal to 3.449211983.44921198.)

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.