Whakaoti i te (2/3)^{2}*(-2/3)^{3}*(-2/3)^{4}]^{2}:[-(-2/3)^5]^3+(-frac{2}{3})^3-(frac{2}{7})^4

$$( \frac { 2 } { 3 } ) ^ { 2 } \cdot ( - \frac { 2 } { 3 } ) ^ { 3 } \cdot ( - \frac { 2 } { 3 } ) ^ { 4 } ] ^ { 2 } : [ - ( - \frac { 2 } { 3 } ) ^ { 5 } ] ^ { 3 } + ( - \frac { 2 } { 3 } ) ^ { 3 } - ( \frac { 2 } { 7 } ) ^ { 4 }$$

Aromātai

$$-\frac{512}{19683}\approx -0.026012295$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 4 kia riro ai te 7.

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

Tātaihia te \frac{2}{3} mā te pū o 2, kia riro ko \frac{4}{9}.

$$\frac{4}{9}\left(-\frac{2}{3}\right)^{7}$$

Tātaihia te -\frac{2}{3} mā te pū o 7, kia riro ko -\frac{128}{2187}.

$$\frac{4}{9}\left(-\frac{128}{2187}\right)$$

Me whakarea te \frac{4}{9} ki te -\frac{128}{2187} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\left(-128\right)}{9\times 2187}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-128\right)}{9\times 2187}.

$$\frac{-512}{19683}$$

Ka taea te hautanga \frac{-512}{19683} te tuhi anō ko -\frac{512}{19683} mā te tango i te tohu tōraro.

$$-\frac{512}{19683}$$

Tauwehe

$$-\frac{512}{19683} = -0.02601229487374892$$