Solve 6*10^-8div1.5*10^-9

$$6 \times { 10 }^{ -8 } \div 1.5 \times { 10 }^{ -9 }$$

Evaluate

$$0.00000000000000004$$

Solution Steps

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

$$\frac{6\times \frac{1}{100000000}}{1.5}\times 10^{-9}$$

Multiply 6 and \frac{1}{100000000} to get \frac{3}{50000000}.

$$\frac{\frac{3}{50000000}}{1.5}\times 10^{-9}$$

Express \frac{\frac{3}{50000000}}{1.5} as a single fraction.

$$\frac{3}{50000000\times 1.5}\times 10^{-9}$$

Multiply 50000000 and 1.5 to get 75000000.

$$\frac{3}{75000000}\times 10^{-9}$$

Reduce the fraction \frac{3}{75000000} to lowest terms by extracting and canceling out 3.

$$\frac{1}{25000000}\times 10^{-9}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{1}{25000000}\times \frac{1}{1000000000}$$

Multiply \frac{1}{25000000} and \frac{1}{1000000000} to get \frac{1}{25000000000000000}.

$$\frac{1}{25000000000000000}$$

Factor

$$\frac{1}{2 ^ {15} \cdot 5 ^ {17}} = 4 \times 10^{-17}$$