Solve frac{200*sqrt{2}*6*023*10^23*0,2}{25*10^-3*10^9}

$$\frac { 200 \times \sqrt { 2 } \times 6 \cdot 023 \times 10 ^ { 23 } \times 0,2 } { 25 \times 10 ^ { - 3 } \times 10 ^ { 9 } }$$

Evaluate

$$22080000000000000000\sqrt{2}\approx 3.122583546 \cdot 10^{19}$$

Solution Steps

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

$$\frac{23\times 200\sqrt{2}\times 6\times 10^{23}\times 0,2}{25\times 10^{6}}$$

Cancel out 25\times 10^{6} in both numerator and denominator.

$$0,2\times 6\times 8\times 23\sqrt{2}\times 10^{17}$$

Multiply 0,2 and 6 to get 1,2.

$$1,2\times 8\times 23\sqrt{2}\times 10^{17}$$

Multiply 1,2 and 8 to get 9,6.

$$9,6\times 23\sqrt{2}\times 10^{17}$$

Multiply 9,6 and 23 to get 220,8.

$$220,8\sqrt{2}\times 10^{17}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$220,8\sqrt{2}\times 100000000000000000$$

Multiply 220,8 and 100000000000000000 to get 22080000000000000000.

$$22080000000000000000\sqrt{2}$$