Solve 2pileft(310^8right)^26.625610^-34/3.7^5

$$\frac{ 2 \pi { \left(3 { 10 }^{ 8 } \right) }^{ 2 } 6.6256 { 10 }^{ -34 } }{ { 3.7 }^{ 5 } }$$

Evaluate

$$\frac{37269\pi }{216699865625000000000000}\approx 5.403049802 \cdot 10^{-19}$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{2\pi \times \left(3\times 100000000\right)^{2}\times 6.6256\times 10^{-34}}{3.7^{5}}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{2\pi \times 300000000^{2}\times 6.6256\times 10^{-34}}{3.7^{5}}$$

Calculate 300000000 to the power of 2 and get 90000000000000000.

$$\frac{2\pi \times 90000000000000000\times 6.6256\times 10^{-34}}{3.7^{5}}$$

Multiply 2 and 90000000000000000 to get 180000000000000000.

$$\frac{180000000000000000\pi \times 6.6256\times 10^{-34}}{3.7^{5}}$$

Multiply 180000000000000000 and 6.6256 to get 1192608000000000000.

$$\frac{1192608000000000000\pi \times 10^{-34}}{3.7^{5}}$$

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$\frac{1192608000000000000\pi \times \frac{1}{10000000000000000000000000000000000}}{3.7^{5}}$$

Multiply 1192608000000000000 and \frac{1}{10000000000000000000000000000000000} to get \frac{37269}{312500000000000000000}.

$$\frac{\frac{37269}{312500000000000000000}\pi }{3.7^{5}}$$

Calculate 3.7 to the power of 5 and get 693.43957.

$$\frac{\frac{37269}{312500000000000000000}\pi }{693.43957}$$

Divide \frac{37269}{312500000000000000000}\pi by 693.43957 to get \frac{37269}{216699865625000000000000}\pi .

$$\frac{37269}{216699865625000000000000}\pi$$

Expand

$$\frac{37269 \pi}{216699865625000000000000} = 5.403049802035982 \times 10^{-19}$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{2\pi \times \left(3\times 100000000\right)^{2}\times 6.6256\times 10^{-34}}{3.7^{5}}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{2\pi \times 300000000^{2}\times 6.6256\times 10^{-34}}{3.7^{5}}$$

Calculate 300000000 to the power of 2 and get 90000000000000000.

$$\frac{2\pi \times 90000000000000000\times 6.6256\times 10^{-34}}{3.7^{5}}$$

Multiply 2 and 90000000000000000 to get 180000000000000000.

$$\frac{180000000000000000\pi \times 6.6256\times 10^{-34}}{3.7^{5}}$$

Multiply 180000000000000000 and 6.6256 to get 1192608000000000000.

$$\frac{1192608000000000000\pi \times 10^{-34}}{3.7^{5}}$$

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$\frac{1192608000000000000\pi \times \frac{1}{10000000000000000000000000000000000}}{3.7^{5}}$$

Multiply 1192608000000000000 and \frac{1}{10000000000000000000000000000000000} to get \frac{37269}{312500000000000000000}.

$$\frac{\frac{37269}{312500000000000000000}\pi }{3.7^{5}}$$

Calculate 3.7 to the power of 5 and get 693.43957.

$$\frac{\frac{37269}{312500000000000000000}\pi }{693.43957}$$

Divide \frac{37269}{312500000000000000000}\pi by 693.43957 to get \frac{37269}{216699865625000000000000}\pi .

$$\frac{37269}{216699865625000000000000}\pi$$