Solve 0.24*10^5/0.5*10^-7

$$\frac { 0.24 \times 10 ^ { 5 } } { 0.5 \times 10 ^ { - 7 } }$$

Evaluate

$$480000000000$$

Solution Steps

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

$$\frac{0.24\times 10^{12}}{0.5}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{0.24\times 1000000000000}{0.5}$$

Multiply 0.24 and 1000000000000 to get 240000000000.

$$\frac{240000000000}{0.5}$$

Expand \frac{240000000000}{0.5} by multiplying both numerator and the denominator by 10.

$$\frac{2400000000000}{5}$$

Divide 2400000000000 by 5 to get 480000000000.

$$480000000000$$

Factor

$$3\times 2^{14}\times 5^{10}$$