Solve 1/3*10^8left(1.3*10^-6right)^2*5.898*10^9

$$\frac{ 1 }{ 3 \times { 10 }^{ 8 } } { \left(1.3 \times { 10 }^{ -6 } \right) }^{ 2 } \times 5.898 \times { 10 }^{ 9 }$$

Evaluate

$$0.0000000000332254$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{1}{3\times 100000000}\times \left(1.3\times 10^{-6}\right)^{2}\times 5.898\times 10^{9}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{1}{300000000}\times \left(1.3\times 10^{-6}\right)^{2}\times 5.898\times 10^{9}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{1}{300000000}\times \left(1.3\times \frac{1}{1000000}\right)^{2}\times 5.898\times 10^{9}$$

Multiply 1.3 and \frac{1}{1000000} to get \frac{13}{10000000}.

$$\frac{1}{300000000}\times \left(\frac{13}{10000000}\right)^{2}\times 5.898\times 10^{9}$$

Calculate \frac{13}{10000000} to the power of 2 and get \frac{169}{100000000000000}.

$$\frac{1}{300000000}\times \frac{169}{100000000000000}\times 5.898\times 10^{9}$$

Multiply \frac{1}{300000000} and \frac{169}{100000000000000} to get \frac{169}{30000000000000000000000}.

$$\frac{169}{30000000000000000000000}\times 5.898\times 10^{9}$$

Multiply \frac{169}{30000000000000000000000} and 5.898 to get \frac{166127}{5000000000000000000000000}.

$$\frac{166127}{5000000000000000000000000}\times 10^{9}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{166127}{5000000000000000000000000}\times 1000000000$$

Multiply \frac{166127}{5000000000000000000000000} and 1000000000 to get \frac{166127}{5000000000000000}.

$$\frac{166127}{5000000000000000}$$

Factor

$$\frac{983 \cdot 13 ^ {2}}{2 ^ {15} \cdot 5 ^ {16}} = 3.32254 \times 10^{-11}$$