Ratkaise (69)^18/2536+3995^3

$$\frac { ( 69 ) ^ { 18 } } { 2536 + 399 } 5 ^ { 3 }$$

Laske

$$\frac{31421263297535300736687011746511025}{587}\approx 5,352855758 \cdot 10^{31}$$

Ratkaisun vaiheet

Laske 69 potenssiin 18, jolloin ratkaisuksi tulee 1256850531901412029467480469860441.

$$\frac{1256850531901412029467480469860441}{2536+399}\times 5^{3}$$

Selvitä 2935 laskemalla yhteen 2536 ja 399.

$$\frac{1256850531901412029467480469860441}{2935}\times 5^{3}$$

Laske 5 potenssiin 3, jolloin ratkaisuksi tulee 125.

$$\frac{1256850531901412029467480469860441}{2935}\times 125$$

Ilmaise \frac{1256850531901412029467480469860441}{2935}\times 125 säännöllisenä murtolukuna.

$$\frac{1256850531901412029467480469860441\times 125}{2935}$$

Kerro 1256850531901412029467480469860441 ja 125, niin saadaan 157106316487676503683435058732555125.

$$\frac{157106316487676503683435058732555125}{2935}$$

Supista murtoluku \frac{157106316487676503683435058732555125}{2935} luvulla 5.

$$\frac{31421263297535300736687011746511025}{587}$$

Jaa tekijöihin

$$\frac{3 ^ {18} \cdot 5 ^ {2} \cdot 23 ^ {18}}{587} = 5,3528557576721125 \times 10^{31}\frac{551}{587} = 5,3528557576721125 \times 10^{31}$$