Lutasin ang 66*10^-34*3*10^8/66*10^-34*3*10^8/290*{10^-9}+15*16*{10}^-19

$$\frac{ \frac{ 66 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 66 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } } }{ 290 \times { 10 }^{ -9 } } +15 \times 16 \times { 10 }^{ -19 }$$

I-evaluate

$$\frac{12500000000000000000000087}{3625000000000000000}\approx 3448275.862068966$$

Mga Hakbang ng Solution

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang -34 at 8 para makuha ang -26.

$$\frac{\frac{66\times 10^{-26}\times 3}{66\times 10^{-34}\times 3\times 10^{8}}}{290\times 10^{-9}}+15\times 16\times 10^{-19}$$

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang -34 at 8 para makuha ang -26.

$$\frac{\frac{66\times 10^{-26}\times 3}{66\times 10^{-26}\times 3}}{290\times 10^{-9}}+15\times 16\times 10^{-19}$$

I-divide ang 66\times 10^{-26}\times 3 gamit ang 66\times 10^{-26}\times 3 para makuha ang 1.

$$\frac{1}{290\times 10^{-9}}+15\times 16\times 10^{-19}$$

Kalkulahin ang 10 sa power ng -9 at kunin ang \frac{1}{1000000000}.

$$\frac{1}{290\times \frac{1}{1000000000}}+15\times 16\times 10^{-19}$$

I-multiply ang 290 at \frac{1}{1000000000} para makuha ang \frac{29}{100000000}.

$$\frac{1}{\frac{29}{100000000}}+15\times 16\times 10^{-19}$$

I-divide ang 1 gamit ang \frac{29}{100000000} sa pamamagitan ng pagmu-multiply sa 1 gamit ang reciprocal ng \frac{29}{100000000}.

$$1\times \frac{100000000}{29}+15\times 16\times 10^{-19}$$

I-multiply ang 1 at \frac{100000000}{29} para makuha ang \frac{100000000}{29}.

$$\frac{100000000}{29}+15\times 16\times 10^{-19}$$

I-multiply ang 15 at 16 para makuha ang 240.

$$\frac{100000000}{29}+240\times 10^{-19}$$

Kalkulahin ang 10 sa power ng -19 at kunin ang \frac{1}{10000000000000000000}.

$$\frac{100000000}{29}+240\times \frac{1}{10000000000000000000}$$

I-multiply ang 240 at \frac{1}{10000000000000000000} para makuha ang \frac{3}{125000000000000000}.

$$\frac{100000000}{29}+\frac{3}{125000000000000000}$$

Idagdag ang \frac{100000000}{29} at \frac{3}{125000000000000000} para makuha ang \frac{12500000000000000000000087}{3625000000000000000}.

$$\frac{12500000000000000000000087}{3625000000000000000}$$

I-factor

$$\frac{115849 \cdot 107899075520720938463}{2 ^ {15} \cdot 5 ^ {18} \cdot 29} = 3448275\frac{3.125000000595591 \times 10^{18}}{3.625 \times 10^{18}} = 3448275.8620689656$$