Solve 5000*1.8*10^-14/0.01*10^-8

$$\frac{ 5000 \times 1.8 \times { 10 }^{ -14 } }{ 0.01 \times { 10 }^{ -8 } }$$

Evaluate

$$0.9$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1.8\times 5000}{0.01\times 10^{6}}$$

Multiply 1.8 and 5000 to get 9000.

$$\frac{9000}{0.01\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{9000}{0.01\times 1000000}$$

Multiply 0.01 and 1000000 to get 10000.

$$\frac{9000}{10000}$$

Reduce the fraction \frac{9000}{10000} to lowest terms by extracting and canceling out 1000.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$