Solve (2.1*10^-9)^6/3*10^7

$$\frac { ( 2.1 \times 10 ^ { - 9 } ) ^ { 6 } } { 3 \times 10 ^ { 7 } }$$

Evaluate

$$0.0000000000000000000000000000000000000000000000000000000000028588707$$

Solution Steps

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

$$\frac{\left(2.1\times \frac{1}{1000000000}\right)^{6}}{3\times 10^{7}}$$

Multiply 2.1 and \frac{1}{1000000000} to get \frac{21}{10000000000}.

$$\frac{\left(\frac{21}{10000000000}\right)^{6}}{3\times 10^{7}}$$

Calculate \frac{21}{10000000000} to the power of 6 and get \frac{85766121}{1000000000000000000000000000000000000000000000000000000000000}.

$$\frac{\frac{85766121}{1000000000000000000000000000000000000000000000000000000000000}}{3\times 10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{\frac{85766121}{1000000000000000000000000000000000000000000000000000000000000}}{3\times 10000000}$$

Multiply 3 and 10000000 to get 30000000.

$$\frac{\frac{85766121}{1000000000000000000000000000000000000000000000000000000000000}}{30000000}$$

Express \frac{\frac{85766121}{1000000000000000000000000000000000000000000000000000000000000}}{30000000} as a single fraction.

$$\frac{85766121}{1000000000000000000000000000000000000000000000000000000000000\times 30000000}$$

Multiply 1000000000000000000000000000000000000000000000000000000000000 and 30000000 to get 30000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{85766121}{30000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{85766121}{30000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 3.

$$\frac{28588707}{10000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {5} \cdot 7 ^ {6}}{2 ^ {67} \cdot 5 ^ {67}} = 2.8588707 \times 10^{-60}$$