Solve 1.6*10^2-19*6.64*10^-34

$$1.6 \times { 10 }^{ 2-19 } \times 6.64 \times { 10 }^{ -34 }$$

Evaluate

$$0.000000000000000000000000000000000000000000000000010624$$

Solution Steps

Subtract 19 from 2 to get -17.

$$1.6\times 10^{-17}\times 6.64\times 10^{-34}$$

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

$$1.6\times \frac{1}{100000000000000000}\times 6.64\times 10^{-34}$$

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

$$\frac{1}{62500000000000000}\times 6.64\times 10^{-34}$$

Multiply \frac{1}{62500000000000000} and 6.64 to get \frac{83}{781250000000000000}.

$$\frac{83}{781250000000000000}\times 10^{-34}$$

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$\frac{83}{781250000000000000}\times \frac{1}{10000000000000000000000000000000000}$$

Multiply \frac{83}{781250000000000000} and \frac{1}{10000000000000000000000000000000000} to get \frac{83}{7812500000000000000000000000000000000000000000000000}.

$$\frac{83}{7812500000000000000000000000000000000000000000000000}$$

Factor

$$\frac{83}{2 ^ {47} \cdot 5 ^ {54}} = 1.0624 \times 10^{-50}$$