Solve 3.6*35*51*10^-8/0.1^2=

$$3.6 \times \frac{ 35 \times 51 \times { 10 }^{ -8 } }{ { 0.1 }^{ 2 } } =$$

Evaluate

$$0.006426$$

Solution Steps

Multiply 35 and 51 to get 1785.

$$3.6\times \frac{1785\times 10^{-8}}{0.1^{2}}$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$3.6\times \frac{1785\times \frac{1}{100000000}}{0.1^{2}}$$

Multiply 1785 and \frac{1}{100000000} to get \frac{357}{20000000}.

$$3.6\times \frac{\frac{357}{20000000}}{0.1^{2}}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$3.6\times \frac{\frac{357}{20000000}}{0.01}$$

Express \frac{\frac{357}{20000000}}{0.01} as a single fraction.

$$3.6\times \frac{357}{20000000\times 0.01}$$

Multiply 20000000 and 0.01 to get 200000.

$$3.6\times \frac{357}{200000}$$

Multiply 3.6 and \frac{357}{200000} to get \frac{3213}{500000}.

$$\frac{3213}{500000}$$

Factor

$$\frac{7 \cdot 17 \cdot 3 ^ {3}}{2 ^ {5} \cdot 5 ^ {6}} = 0.006426$$