Datrys frac{(53)^{4}+4+(40)^4}{(5^3)^2+2(44)^2+5194}=?

$$\frac { ( 53 ) ^ { 4 } + 4 + ( 40 ) ^ { 4 } } { ( 5 ^ { 3 } ) ^ { 2 } + 2 ( 44 ) ^ { 2 } + 5194 } = ?$$

Enrhifo

$$\frac{10450485}{24691}\approx 423.250779636$$

Camau Ateb

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 3 a 2 i gael 6.

$$\frac{53^{4}+4+40^{4}}{5^{6}+2\times 44^{2}+5194}$$

Cyfrifo 53 i bŵer 4 a chael 7890481.

$$\frac{7890481+4+40^{4}}{5^{6}+2\times 44^{2}+5194}$$

Adio 7890481 a 4 i gael 7890485.

$$\frac{7890485+40^{4}}{5^{6}+2\times 44^{2}+5194}$$

Cyfrifo 40 i bŵer 4 a chael 2560000.

$$\frac{7890485+2560000}{5^{6}+2\times 44^{2}+5194}$$

Adio 7890485 a 2560000 i gael 10450485.

$$\frac{10450485}{5^{6}+2\times 44^{2}+5194}$$

Cyfrifo 5 i bŵer 6 a chael 15625.

$$\frac{10450485}{15625+2\times 44^{2}+5194}$$

Cyfrifo 44 i bŵer 2 a chael 1936.

$$\frac{10450485}{15625+2\times 1936+5194}$$

Lluosi 2 a 1936 i gael 3872.

$$\frac{10450485}{15625+3872+5194}$$

Adio 15625 a 3872 i gael 19497.

$$\frac{10450485}{19497+5194}$$

Adio 19497 a 5194 i gael 24691.

$$\frac{10450485}{24691}$$

Ffactor

$$\frac{3 ^ {3} \cdot 5 \cdot 199 \cdot 389}{24691} = 423\frac{6192}{24691} = 423.25077963630474$$