Solve 5898.24*(1.3*10^-6)^2/3*10^8

$$\frac { 5898.24 \times ( 1.3 \times 10 ^ { - 6 } ) ^ { 2 } } { 3 \times 10 ^ { 8 } }$$

Evaluate

$$0.000000000000000033226752$$

Solution Steps

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

$$\frac{5898.24\times \left(1.3\times \frac{1}{1000000}\right)^{2}}{3\times 10^{8}}$$

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

$$\frac{5898.24\times \left(\frac{13}{10000000}\right)^{2}}{3\times 10^{8}}$$

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

$$\frac{5898.24\times \frac{169}{100000000000000}}{3\times 10^{8}}$$

Multiply 5898.24 and \frac{169}{100000000000000} to get \frac{1521}{152587890625}.

$$\frac{\frac{1521}{152587890625}}{3\times 10^{8}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\frac{1521}{152587890625}}{3\times 100000000}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{\frac{1521}{152587890625}}{300000000}$$

Express \frac{\frac{1521}{152587890625}}{300000000} as a single fraction.

$$\frac{1521}{152587890625\times 300000000}$$

Multiply 152587890625 and 300000000 to get 45776367187500000000.

$$\frac{1521}{45776367187500000000}$$

Reduce the fraction \frac{1521}{45776367187500000000} to lowest terms by extracting and canceling out 3.

$$\frac{507}{15258789062500000000}$$

Factor

$$\frac{3 \cdot 13 ^ {2}}{2 ^ {8} \cdot 5 ^ {24}} = 3.3226752 \times 10^{-17}$$