Solve 10^-14/1.5*10^-10

$$10 ^ { - 14 } / 1.5 \times 10 ^ { - 10 }$$

Evaluate

$$\frac{1}{1500000000000000000000000}\approx 6.666666667 \cdot 10^{-25}$$

Solution Steps

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$\frac{\frac{1}{100000000000000}}{1.5}\times 10^{-10}$$

Express \frac{\frac{1}{100000000000000}}{1.5} as a single fraction.

$$\frac{1}{100000000000000\times 1.5}\times 10^{-10}$$

Multiply 100000000000000 and 1.5 to get 150000000000000.

$$\frac{1}{150000000000000}\times 10^{-10}$$

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$\frac{1}{150000000000000}\times \frac{1}{10000000000}$$

Multiply \frac{1}{150000000000000} and \frac{1}{10000000000} to get \frac{1}{1500000000000000000000000}.

$$\frac{1}{1500000000000000000000000}$$

Factor

$$\frac{1}{3 \cdot 2 ^ {23} \cdot 5 ^ {24}} = 6.666666666666667 \times 10^{-25}$$