Solve 5.4*10^7/4.5*10^-10

$$\frac { 5.4 \times 10 ^ { 7 } } { 4.5 \times 10 ^ { - 10 } }$$

Evaluate

$$120000000000000000$$

Solution Steps

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

$$\frac{5.4\times 10^{17}}{4.5}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$\frac{5.4\times 100000000000000000}{4.5}$$

Multiply 5.4 and 100000000000000000 to get 540000000000000000.

$$\frac{540000000000000000}{4.5}$$

Expand \frac{540000000000000000}{4.5} by multiplying both numerator and the denominator by 10.

$$\frac{5400000000000000000}{45}$$

Divide 5400000000000000000 by 45 to get 120000000000000000.

$$120000000000000000$$

Factor

$$3\times 2^{18}\times 5^{16}$$