Whakaoti i te (5^{2}*5^3*5^4):(5^6-5^2)

$$( 5 ^ { 2 } \cdot 5 ^ { 3 } \cdot 5 ^ { 4 } ) : ( 5 ^ { 6 } - 5 ^ { 2 } )$$

Aromātai

$$\frac{78125}{624}\approx 125.200320513$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 3 kia riro ai te 5.

$$\frac{5^{5}\times 5^{4}}{5^{6}-5^{2}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 5 me te 4 kia riro ai te 9.

$$\frac{5^{9}}{5^{6}-5^{2}}$$

Tātaihia te 5 mā te pū o 9, kia riro ko 1953125.

$$\frac{1953125}{5^{6}-5^{2}}$$

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

$$\frac{1953125}{15625-5^{2}}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\frac{1953125}{15625-25}$$

Tangohia te 25 i te 15625, ka 15600.

$$\frac{1953125}{15600}$$

Whakahekea te hautanga \frac{1953125}{15600} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{78125}{624}$$

Tauwehe

$$\frac{5 ^ {7}}{2 ^ {4} \cdot 3 \cdot 13} = 125\frac{125}{624} = 125.20032051282051$$