Solve 0,027*10^-12/900*10^18*0,2*10^-7

$$\frac { 0,027 \times 10 ^ { - 12 } } { 900 \times 10 ^ { 18 } \times 0,2 \times 10 ^ { - 7 } }$$

Evaluate

$$0,0000000000000000000000000015$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 18 and -7 to get 11.

$$\frac{0,027\times 10^{-12}}{900\times 10^{11}\times 0,2}$$

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

$$\frac{0,027}{0,2\times 900\times 10^{23}}$$

Multiply 0,2 and 900 to get 180.

$$\frac{0,027}{180\times 10^{23}}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{0,027}{180\times 100000000000000000000000}$$

Multiply 180 and 100000000000000000000000 to get 18000000000000000000000000.

$$\frac{0,027}{18000000000000000000000000}$$

Expand \frac{0,027}{18000000000000000000000000} by multiplying both numerator and the denominator by 1000.

$$\frac{27}{18000000000000000000000000000}$$

Reduce the fraction \frac{27}{18000000000000000000000000000} to lowest terms by extracting and canceling out 9.

$$\frac{3}{2000000000000000000000000000}$$

Factor

$$\frac{3}{2 ^ {28} \cdot 5 ^ {27}} = 1.5 \times 10^{-27}$$