Solve 18*10^20/6.23*511*10^-23

$$\frac { 18 \times 10 ^ { 20 } } { 6.23 \times 511 \times 10 ^ { - 23 } }$$

Evaluate

$$\frac{18000000000000000000000000000000000000000000000}{318353}\approx 5.654100951 \cdot 10^{40}$$

Solution Steps

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

$$\frac{18\times 10^{43}}{6.23\times 511}$$

Calculate 10 to the power of 43 and get 10000000000000000000000000000000000000000000.

$$\frac{18\times 10000000000000000000000000000000000000000000}{6.23\times 511}$$

Multiply 18 and 10000000000000000000000000000000000000000000 to get 180000000000000000000000000000000000000000000.

$$\frac{180000000000000000000000000000000000000000000}{6.23\times 511}$$

Multiply 6.23 and 511 to get 3183.53.

$$\frac{180000000000000000000000000000000000000000000}{3183.53}$$

Expand \frac{180000000000000000000000000000000000000000000}{3183.53} by multiplying both numerator and the denominator by 100.

$$\frac{18000000000000000000000000000000000000000000000}{318353}$$

Factor

$$\frac{2 ^ {46} \cdot 3 ^ {2} \cdot 5 ^ {45}}{73 \cdot 89 \cdot 7 ^ {2}} = 5.654100950831309 \times 10^{40}\frac{215019}{318353} = 5.654100950831309 \times 10^{40}$$