Solve 1/266410^-27left(60310^4right)^2

$$\frac{ 1 }{ 2 } 664 { 10 }^{ -27 } { \left(603 { 10 }^{ 4 } \right) }^{ 2 }$$

Evaluate

$$\frac{30179547}{2500000000000000000}=1.20718188 \cdot 10^{-11}$$

Solution Steps

Multiply \frac{1}{2} and 664 to get 332.

$$332\times 10^{-27}\times \left(603\times 10^{4}\right)^{2}$$

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

$$332\times \frac{1}{1000000000000000000000000000}\times \left(603\times 10^{4}\right)^{2}$$

Multiply 332 and \frac{1}{1000000000000000000000000000} to get \frac{83}{250000000000000000000000000}.

$$\frac{83}{250000000000000000000000000}\times \left(603\times 10^{4}\right)^{2}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{83}{250000000000000000000000000}\times \left(603\times 10000\right)^{2}$$

Multiply 603 and 10000 to get 6030000.

$$\frac{83}{250000000000000000000000000}\times 6030000^{2}$$

Calculate 6030000 to the power of 2 and get 36360900000000.

$$\frac{83}{250000000000000000000000000}\times 36360900000000$$

Multiply \frac{83}{250000000000000000000000000} and 36360900000000 to get \frac{30179547}{2500000000000000000}.

$$\frac{30179547}{2500000000000000000}$$

Factor

$$\frac{3 ^ {4} \cdot 67 ^ {2} \cdot 83}{2 ^ {17} \cdot 5 ^ {19}} = 1.20718188 \times 10^{-11}$$