Question

El valor de la expresión

\frac{(304)^5}{(29.7)(399)^4}

es más cercano a

The value of the expression

\frac{(304)^5}{(29.7)(399)^4}

is closest to

0.003

0.03

0.3

3

30

Redondea los números:

304 \approx 300,

29.7 \approx 30,

y

399 \approx 400

Round the numbers:

304 \approx 300,

29.7 \approx 30,

and

399 \approx 400

Simplifica

\dfrac{300^5}{30 \cdot 400^4} = 10 \left(\dfrac34\right)^4

Simplify

\dfrac{300^5}{30 \cdot 400^4} = 10 \left(\dfrac34\right)^4

Estimando:

\begin{aligned} \dfrac{300^5}{30 \cdot 400^4} &= 10 \left(\dfrac{300}{400}\right)^4 \\ &= 10 \left(\dfrac34\right)^4 \\ &= 10 \cdot \dfrac{81}{256} \approx 3. \end{aligned}

Por lo tanto, la respuesta correcta es D.

Estimating,

\begin{aligned} \dfrac{300^5}{30 \cdot 400^4} &= 10 \left(\dfrac{300}{400}\right)^4 \\ &= 10 \left(\dfrac34\right)^4 \\ &= 10 \cdot \dfrac{81}{256} \approx 3. \end{aligned}

Thus, the correct answer is D .