Solve 3*10^8/760*10^-9

$$\frac{ 3 \times { 10 }^{ 8 } }{ 760 \times { 10 }^{ -9 } }$$

Evaluate

$$\frac{7500000000000000}{19}\approx 3.947368421 \cdot 10^{14}$$

Solution Steps

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

$$\frac{3\times 10^{17}}{760}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$\frac{3\times 100000000000000000}{760}$$

Multiply 3 and 100000000000000000 to get 300000000000000000.

$$\frac{300000000000000000}{760}$$

Reduce the fraction \frac{300000000000000000}{760} to lowest terms by extracting and canceling out 40.

$$\frac{7500000000000000}{19}$$

Factor

$$\frac{2 ^ {14} \cdot 3 \cdot 5 ^ {16}}{19} = 394736842105263\frac{3}{19} = 394736842105263.2$$