Solve 2.998*10^8/7.6*10^-2

$$\frac{ 2.998 \times { 10 }^{ 8 } }{ 7.6 \times { 10 }^{ -2 } }$$

Evaluate

$$\frac{74950000000}{19}\approx 3944736842.105263158$$

Solution Steps

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

$$\frac{2.998\times 10^{10}}{7.6}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{2.998\times 10000000000}{7.6}$$

Multiply 2.998 and 10000000000 to get 29980000000.

$$\frac{29980000000}{7.6}$$

Expand \frac{29980000000}{7.6} by multiplying both numerator and the denominator by 10.

$$\frac{299800000000}{76}$$

Reduce the fraction \frac{299800000000}{76} to lowest terms by extracting and canceling out 4.

$$\frac{74950000000}{19}$$

Factor

$$\frac{1499 \cdot 2 ^ {7} \cdot 5 ^ {8}}{19} = 3944736842\frac{2}{19} = 3944736842.105263$$