Solve 9*10^9*5*10^-6*2,5*10^-6/1,0*10^-20

$$\frac { 9 \times 10 ^ { 9 } \cdot 5 \times 10 ^ { - 6 } \cdot 2,5 \times 10 ^ { - 6 } } { 1,0 \times 10 ^ { - 20 } }$$

Evaluate

$$11250000000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$\frac{9\times 10^{3}\times 5\times 2,5\times 10^{-6}}{1\times 10^{-20}}$$

To multiply powers of the same base, add their exponents. Add 3 and -6 to get -3.

$$\frac{9\times 10^{-3}\times 5\times 2,5}{1\times 10^{-20}}$$

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

$$2,5\times 5\times 9\times 10^{17}$$

Multiply 2,5 and 5 to get 12,5.

$$12,5\times 9\times 10^{17}$$

Multiply 12,5 and 9 to get 112,5.

$$112,5\times 10^{17}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$112,5\times 100000000000000000$$

Multiply 112,5 and 100000000000000000 to get 11250000000000000000.

$$11250000000000000000$$

Factor

$$2^{16}\times 3^{2}\times 5^{19}$$