Whakaoti i te t=35^3*3^7/45^2*21^3

$$t = \frac { 35 ^ { 3 } \cdot 3 ^ { 7 } } { 45 ^ { 2 } \cdot 21 ^ { 3 } }$$

Whakaoti mō t

$$t=5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 35 mā te pū o 3, kia riro ko 42875.

$$t=\frac{42875\times 3^{7}}{45^{2}\times 21^{3}}$$

Tātaihia te 3 mā te pū o 7, kia riro ko 2187.

$$t=\frac{42875\times 2187}{45^{2}\times 21^{3}}$$

Whakareatia te 42875 ki te 2187, ka 93767625.

$$t=\frac{93767625}{45^{2}\times 21^{3}}$$

Tātaihia te 45 mā te pū o 2, kia riro ko 2025.

$$t=\frac{93767625}{2025\times 21^{3}}$$

Tātaihia te 21 mā te pū o 3, kia riro ko 9261.

$$t=\frac{93767625}{2025\times 9261}$$

Whakareatia te 2025 ki te 9261, ka 18753525.

$$t=\frac{93767625}{18753525}$$

Whakawehea te 93767625 ki te 18753525, kia riro ko 5.

$$t=5$$

Tautapa t

$$t≔5$$