Whakaoti i te frac{sqrt[5]{64^9*128^3}*(sqrt[3]{724div27})}{sqrt[5]{32*243}}

$$\frac { \sqrt[ 5 ] { 64 ^ { 9 } \cdot 128 ^ { 3 } } \cdot ( \sqrt[ 3 ] { 724 \div 27 } ) } { \sqrt[ 5 ] { 32 \cdot 243 } }$$

Aromātai

$$\frac{16384\sqrt[3]{724}}{9}\approx 16346.456330386$$

Ngā Upane Otinga

Tātaihia te 64 mā te pū o 9, kia riro ko 18014398509481984.

$$\frac{\sqrt[5]{18014398509481984\times 128^{3}}\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{32\times 243}}$$

Tātaihia te 128 mā te pū o 3, kia riro ko 2097152.

$$\frac{\sqrt[5]{18014398509481984\times 2097152}\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{32\times 243}}$$

Whakareatia te 18014398509481984 ki te 2097152, ka 37778931862957161709568.

$$\frac{\sqrt[5]{37778931862957161709568}\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{32\times 243}}$$

Tātaitia te \sqrt[5]{37778931862957161709568} kia tae ki 32768.

$$\frac{32768\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{32\times 243}}$$

Whakareatia te 32 ki te 243, ka 7776.

$$\frac{32768\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{7776}}$$

Tātaitia te \sqrt[5]{7776} kia tae ki 6.

$$\frac{32768\sqrt[3]{\frac{724}{27}}}{6}$$

Whakawehea te 32768\sqrt[3]{\frac{724}{27}} ki te 6, kia riro ko \frac{16384}{3}\sqrt[3]{\frac{724}{27}}.

$$\frac{16384}{3}\sqrt[3]{\frac{724}{27}}$$