Whakaoti i te o(sqrt[3]{sqrt[3]{2^9}})^5(sqrt[6]{sqrt[3]{2^9}})^5

$$o ( \sqrt[ 3 ] { \sqrt[ 3 ] { 2 ^ { 9 } } } ) ^ { 5 } ( \sqrt[ 6 ] { \sqrt[ 3 ] { 2 ^ { 9 } } } ) ^ { 5 }$$

Aromātai

$$128\sqrt{2}o$$

Ngā Upane Otinga

Tātaihia te 2 mā te pū o 9, kia riro ko 512.

$$o\left(\sqrt[3]{\sqrt[3]{512}}\right)^{5}\left(\sqrt[6]{\sqrt[3]{2^{9}}}\right)^{5}$$

Tātaitia te \sqrt[3]{512} kia tae ki 8.

$$o\left(\sqrt[3]{8}\right)^{5}\left(\sqrt[6]{\sqrt[3]{2^{9}}}\right)^{5}$$

Tātaitia te \sqrt[3]{8} kia tae ki 2.

$$o\times 2^{5}\left(\sqrt[6]{\sqrt[3]{2^{9}}}\right)^{5}$$

Tātaihia te 2 mā te pū o 5, kia riro ko 32.

$$o\times 32\left(\sqrt[6]{\sqrt[3]{2^{9}}}\right)^{5}$$

Tātaihia te 2 mā te pū o 9, kia riro ko 512.

$$o\times 32\left(\sqrt[6]{\sqrt[3]{512}}\right)^{5}$$

Tātaitia te \sqrt[3]{512} kia tae ki 8.

$$o\times 32\left(\sqrt[6]{8}\right)^{5}$$

Me tuhi anō te \sqrt[6]{8} ko \sqrt[6]{2^{3}}. Tahuritia i te āhua pūtake ki te āhua taupū ka whakakore i te 3 i te taupū. Tahuri anō ki te āhua pūtake.

$$\sqrt[6]{8}=\sqrt[6]{2^{3}}=2^{\frac{3}{6}}=2^{\frac{1}{2}}=\sqrt{2}$$

Me kōkuhu anō te uara i whiwhi i te kīanga.

$$o\times 32\left(\sqrt{2}\right)^{5}$$

Kimi Pārōnaki e ai ki o

$$128 \sqrt{2} = 181.019335984$$