Solve 1.6*10^2-19div180

$$1.6 \times { 10 }^{ 2-19 } \div 180$$

Evaluate

$$\frac{1}{11250000000000000000}\approx 8.888888889 \cdot 10^{-20}$$

Solution Steps

Subtract 19 from 2 to get -17.

$$\frac{1.6\times 10^{-17}}{180}$$

Calculate 10 to the power of -17 and get \frac{1}{100000000000000000}.

$$\frac{1.6\times \frac{1}{100000000000000000}}{180}$$

Multiply 1.6 and \frac{1}{100000000000000000} to get \frac{1}{62500000000000000}.

$$\frac{\frac{1}{62500000000000000}}{180}$$

Express \frac{\frac{1}{62500000000000000}}{180} as a single fraction.

$$\frac{1}{62500000000000000\times 180}$$

Multiply 62500000000000000 and 180 to get 11250000000000000000.

$$\frac{1}{11250000000000000000}$$

Factor

$$\frac{1}{2 ^ {16} \cdot 3 ^ {2} \cdot 5 ^ {19}} = 8.88888888888889 \times 10^{-20}$$