Solve 4.8*10^-7/1.6*10^-11=?

$$\frac { 4.8 \times 10 ^ { - 7 } } { 1.6 \times 10 ^ { - 11 } } = ?$$

Evaluate

$$30000$$

Solution Steps

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

$$\frac{4.8\times 10^{4}}{1.6}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{4.8\times 10000}{1.6}$$

Multiply 4.8 and 10000 to get 48000.

$$\frac{48000}{1.6}$$

Expand \frac{48000}{1.6} by multiplying both numerator and the denominator by 10.

$$\frac{480000}{16}$$

Divide 480000 by 16 to get 30000.

$$30000$$

Factor

$$3\times 2^{4}\times 5^{4}$$