frac{3^{2}*(6*626*10^-34)^2}{8*9*1*10^-31*(4805*10^-9)} Denklemini Çözme

$$\frac { 3 ^ { 2 } \times ( 6 \cdot 626 \times 10 ^ { - 34 } ) ^ { 2 } } { 8 \times 9 \cdot 1 \times 10 ^ { - 31 } \times ( 4805 \times 10 ^ { - 9 } ) }$$

Hesapla

$$\frac{881721}{24025000000000000000000000000000}\approx 3,670014568 \cdot 10^{-26}$$

Çözüm Adımları

Aynı tabana sahip üslü ifadeleri çarpmak için üs değerlerini toplayın. -9 ile -31 toplandığında -40 elde edilir.

$$\frac{3^{2}\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

2 sayısının 3 kuvvetini hesaplayarak 9 sonucunu bulun.

$$\frac{9\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

6 ve 626 sayılarını çarparak 3756 sonucunu bulun.

$$\frac{9\times \left(3756\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

-34 sayısının 10 kuvvetini hesaplayarak \frac{1}{10000000000000000000000000000000000} sonucunu bulun.

$$\frac{9\times \left(3756\times \frac{1}{10000000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

3756 ve \frac{1}{10000000000000000000000000000000000} sayılarını çarparak \frac{939}{2500000000000000000000000000000000} sonucunu bulun.

$$\frac{9\times \left(\frac{939}{2500000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

2 sayısının \frac{939}{2500000000000000000000000000000000} kuvvetini hesaplayarak \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} sonucunu bulun.

$$\frac{9\times \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

9 ve \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} sayılarını çarparak \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} sonucunu bulun.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

8 ve 9 sayılarını çarparak 72 sonucunu bulun.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 1\times 10^{-40}\times 4805}$$

72 ve 1 sayılarını çarparak 72 sonucunu bulun.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 10^{-40}\times 4805}$$

-40 sayısının 10 kuvvetini hesaplayarak \frac{1}{10000000000000000000000000000000000000000} sonucunu bulun.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times \frac{1}{10000000000000000000000000000000000000000}\times 4805}$$

72 ve \frac{1}{10000000000000000000000000000000000000000} sayılarını çarparak \frac{9}{1250000000000000000000000000000000000000} sonucunu bulun.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{9}{1250000000000000000000000000000000000000}\times 4805}$$

\frac{9}{1250000000000000000000000000000000000000} ve 4805 sayılarını çarparak \frac{8649}{250000000000000000000000000000000000000} sonucunu bulun.

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{8649}{250000000000000000000000000000000000000}}$$

\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} sayısını \frac{8649}{250000000000000000000000000000000000000} ile bölmek için \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} sayısını \frac{8649}{250000000000000000000000000000000000000} sayısının tersiyle çarpın.

$$\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}\times \frac{250000000000000000000000000000000000000}{8649}$$

\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} ve \frac{250000000000000000000000000000000000000}{8649} sayılarını çarparak \frac{881721}{24025000000000000000000000000000} sonucunu bulun.

$$\frac{881721}{24025000000000000000000000000000}$$

Çarpanlara Ayır

$$\frac{3 ^ {2} \cdot 313 ^ {2}}{2 ^ {27} \cdot 5 ^ {29} \cdot 31 ^ {2}} = 3,6700145681581686 \times 10^{-26}$$