Whakaoti i te frac{(-7)^{3}*7^{4}*(-49)^2}{7^4*(-7^3)^6}=

$$\frac { ( - 7 ) ^ { 3 } \times 7 ^ { 4 } \times ( - 49 ) ^ { 2 } } { 7 ^ { 4 } \times ( - 7 ^ { 3 } ) ^ { 6 } } =$$

Aromātai

$$-\frac{1}{1977326743}\approx -5.057333107 \cdot 10^{-10}$$

Ngā Upane Otinga

Me whakakore tahi te 7^{4} i te taurunga me te tauraro.

$$\frac{\left(-49\right)^{2}\left(-7\right)^{3}}{\left(-7^{3}\right)^{6}}$$

Tātaihia te -49 mā te pū o 2, kia riro ko 2401.

$$\frac{2401\left(-7\right)^{3}}{\left(-7^{3}\right)^{6}}$$

Tātaihia te -7 mā te pū o 3, kia riro ko -343.

$$\frac{2401\left(-343\right)}{\left(-7^{3}\right)^{6}}$$

Whakareatia te 2401 ki te -343, ka -823543.

$$\frac{-823543}{\left(-7^{3}\right)^{6}}$$

Tātaihia te 7 mā te pū o 3, kia riro ko 343.

$$\frac{-823543}{\left(-343\right)^{6}}$$

Tātaihia te -343 mā te pū o 6, kia riro ko 1628413597910449.

$$\frac{-823543}{1628413597910449}$$

Whakahekea te hautanga \frac{-823543}{1628413597910449} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 823543.

$$-\frac{1}{1977326743}$$

Tauwehe

$$-\frac{1}{1977326743} = -5.057333106630622 \times 10^{-10}$$