Lutasin ang 4*314*314*196*10^1/667*10^-11*14*3600

$$\frac { 4 \times 314 \times 314 \times 196 \times 10 ^ { 1 } } { 667 \times 10 ^ { - 11 } \times 14 \times 3600 }$$

I-evaluate

$$\frac{13803440000000000}{6003}\approx 2.299423622 \cdot 10^{12}$$

Mga Hakbang ng Solution

I-cancel out ang 2\times 2\times 2\times 2\times 2\times 5\times 7 sa parehong numerator at denominator.

$$\frac{2\times 14\times 157\times 157}{45\times 667\times 10^{-11}}$$

I-multiply ang 2 at 14 para makuha ang 28.

$$\frac{28\times 157\times 157}{45\times 667\times 10^{-11}}$$

I-multiply ang 28 at 157 para makuha ang 4396.

$$\frac{4396\times 157}{45\times 667\times 10^{-11}}$$

I-multiply ang 4396 at 157 para makuha ang 690172.

$$\frac{690172}{45\times 667\times 10^{-11}}$$

I-multiply ang 45 at 667 para makuha ang 30015.

$$\frac{690172}{30015\times 10^{-11}}$$

Kalkulahin ang 10 sa power ng -11 at kunin ang \frac{1}{100000000000}.

$$\frac{690172}{30015\times \frac{1}{100000000000}}$$

I-multiply ang 30015 at \frac{1}{100000000000} para makuha ang \frac{6003}{20000000000}.

$$\frac{690172}{\frac{6003}{20000000000}}$$

I-divide ang 690172 gamit ang \frac{6003}{20000000000} sa pamamagitan ng pagmu-multiply sa 690172 gamit ang reciprocal ng \frac{6003}{20000000000}.

$$690172\times \frac{20000000000}{6003}$$

I-multiply ang 690172 at \frac{20000000000}{6003} para makuha ang \frac{13803440000000000}{6003}.

$$\frac{13803440000000000}{6003}$$

I-factor

$$\frac{2 ^ {13} \cdot 5 ^ {10} \cdot 7 \cdot 157 ^ {2}}{3 ^ {2} \cdot 23 \cdot 29} = 2299423621522\frac{3434}{6003} = 2299423621522.5723$$