Solve frac{4*10^{19}*3*10^8*6,626*10^34}{694*10^19*10^-3}=

$$\frac { 4 \cdot 10 ^ { 19 } \cdot 3 \cdot 10 ^ { 8 } \cdot 6,626 \cdot 10 ^ { 34 } } { 694 \cdot 10 ^ { 19 } \cdot 10 ^ { - 3 } } =$$

Evaluate

$$\frac{39756000000000000000000000000000000000000000000000}{347}\approx 1.145706052 \cdot 10^{47}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 19 and 8 to get 27.

$$\frac{4\times 10^{27}\times 3\times 6626\times 10^{34}}{694\times 10^{19}\times 10^{-3}}$$

To multiply powers of the same base, add their exponents. Add 27 and 34 to get 61.

$$\frac{4\times 10^{61}\times 3\times 6626}{694\times 10^{19}\times 10^{-3}}$$

To multiply powers of the same base, add their exponents. Add 19 and -3 to get 16.

$$\frac{4\times 10^{61}\times 3\times 6626}{694\times 10^{16}}$$

Cancel out 2\times 10^{16} in both numerator and denominator.

$$\frac{2\times 3\times 6626\times 10^{45}}{347}$$

Multiply 2 and 3 to get 6.

$$\frac{6\times 6626\times 10^{45}}{347}$$

Multiply 6 and 6626 to get 39756.

$$\frac{39756\times 10^{45}}{347}$$

Calculate 10 to the power of 45 and get 1000000000000000000000000000000000000000000000.

$$\frac{39756\times 1000000000000000000000000000000000000000000000}{347}$$

Multiply 39756 and 1000000000000000000000000000000000000000000000 to get 39756000000000000000000000000000000000000000000000.

$$\frac{39756000000000000000000000000000000000000000000000}{347}$$

Factor

$$\frac{2 ^ {47} \cdot 3 \cdot 5 ^ {45} \cdot 3313}{347} = 1.1457060518731987 \times 10^{47}\frac{242}{347} = 1.1457060518731987 \times 10^{47}$$