Solve 0.5*1.6*10^-19*4/1.67*10^-77

$$\frac { 0.5 \times 1.6 \times 10 ^ { - 19 } \times 4 } { 1.67 \times 10 ^ { - 77 } }$$

Evaluate

$$\frac{3200000000000000000000000000000000000000000000000000000000000}{167}\approx 1.916167665 \cdot 10^{58}$$

Solution Steps

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

$$\frac{0.5\times 1.6\times 4\times 10^{58}}{1.67}$$

Multiply 0.5 and 1.6 to get 0.8.

$$\frac{0.8\times 4\times 10^{58}}{1.67}$$

Multiply 0.8 and 4 to get 3.2.

$$\frac{3.2\times 10^{58}}{1.67}$$

Calculate 10 to the power of 58 and get 10000000000000000000000000000000000000000000000000000000000.

$$\frac{3.2\times 10000000000000000000000000000000000000000000000000000000000}{1.67}$$

Multiply 3.2 and 10000000000000000000000000000000000000000000000000000000000 to get 32000000000000000000000000000000000000000000000000000000000.

$$\frac{32000000000000000000000000000000000000000000000000000000000}{1.67}$$

Expand \frac{32000000000000000000000000000000000000000000000000000000000}{1.67} by multiplying both numerator and the denominator by 100.

$$\frac{3200000000000000000000000000000000000000000000000000000000000}{167}$$

Factor

$$\frac{2 ^ {64} \cdot 5 ^ {59}}{167} = 1.9161676646706587 \times 10^{58}\frac{57}{167} = 1.9161676646706587 \times 10^{58}$$