Solve 18.2*10^-91*10^-2/1*10^9

$$18.2 \times { 10 }^{ -9 } \frac{ 1 \times { 10 }^{ -2 } }{ 1 \times { 10 }^{ 9 } }$$

Evaluate

$$0.000000000000000000182$$

Solution Steps

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

$$18.2\times \frac{1}{1000000000}\times \frac{1\times 10^{-2}}{1\times 10^{9}}$$

Multiply 18.2 and \frac{1}{1000000000} to get \frac{91}{5000000000}.

$$\frac{91}{5000000000}\times \frac{1\times 10^{-2}}{1\times 10^{9}}$$

Cancel out 1 in both numerator and denominator.

$$\frac{91}{5000000000}\times \frac{10^{-2}}{10^{9}}$$

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

$$\frac{91}{5000000000}\times \frac{1}{10^{11}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{91}{5000000000}\times \frac{1}{100000000000}$$

Multiply \frac{91}{5000000000} and \frac{1}{100000000000} to get \frac{91}{500000000000000000000}.

$$\frac{91}{500000000000000000000}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {20} \cdot 5 ^ {21}} = 1.82 \times 10^{-19}$$