Solve 1.2*10^-7/4*10^-8*0.05

$$\frac { 1.2 \times 10 ^ { - 7 } } { 4 \times 10 ^ { - 8 } \times 0.05 }$$

Evaluate

$$60$$

Solution Steps

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

$$\frac{1.2\times 10^{1}}{0.05\times 4}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{1.2\times 10}{0.05\times 4}$$

Multiply 1.2 and 10 to get 12.

$$\frac{12}{0.05\times 4}$$

Multiply 0.05 and 4 to get 0.2.

$$\frac{12}{0.2}$$

Expand \frac{12}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{120}{2}$$

Divide 120 by 2 to get 60.

$$60$$

Factor

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