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

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

Aromātai

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

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 2 kia riro ai te 6.

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

Tātaihia te 53 mā te pū o 4, kia riro ko 7890481.

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

Tāpirihia te 7890481 ki te 4, ka 7890485.

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

Tātaihia te 40 mā te pū o 4, kia riro ko 2560000.

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

Tāpirihia te 7890485 ki te 2560000, ka 10450485.

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

Tātaihia te 5 mā te pū o 6, kia riro ko 15625.

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

Tātaihia te 44 mā te pū o 2, kia riro ko 1936.

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

Whakareatia te 2 ki te 1936, ka 3872.

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

Tāpirihia te 15625 ki te 3872, ka 19497.

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

Tāpirihia te 19497 ki te 5194, ka 24691.

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

Tauwehe

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