Solve 1/26.6410^-27left(6.0310^4right)^2

$$\frac{ 1 }{ 2 } 6.64 { 10 }^{ -27 } { \left(6.03 { 10 }^{ 4 } \right) }^{ 2 }$$

Evaluate

$$0.0000000000000000120718188$$

Solution Steps

Multiply \frac{1}{2} and 6.64 to get \frac{83}{25}.

$$\frac{83}{25}\times 10^{-27}\times \left(6.03\times 10^{4}\right)^{2}$$

Calculate 10 to the power of -27 and get \frac{1}{1000000000000000000000000000}.

$$\frac{83}{25}\times \frac{1}{1000000000000000000000000000}\times \left(6.03\times 10^{4}\right)^{2}$$

Multiply \frac{83}{25} and \frac{1}{1000000000000000000000000000} to get \frac{83}{25000000000000000000000000000}.

$$\frac{83}{25000000000000000000000000000}\times \left(6.03\times 10^{4}\right)^{2}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{83}{25000000000000000000000000000}\times \left(6.03\times 10000\right)^{2}$$

Multiply 6.03 and 10000 to get 60300.

$$\frac{83}{25000000000000000000000000000}\times 60300^{2}$$

Calculate 60300 to the power of 2 and get 3636090000.

$$\frac{83}{25000000000000000000000000000}\times 3636090000$$

Multiply \frac{83}{25000000000000000000000000000} and 3636090000 to get \frac{30179547}{2500000000000000000000000}.

$$\frac{30179547}{2500000000000000000000000}$$

Factor

$$\frac{83 \cdot 3 ^ {4} \cdot 67 ^ {2}}{2 ^ {23} \cdot 5 ^ {25}} = 1.2071818799999998 \times 10^{-17}$$