Whakaoti i te x=4^4/sqrt[4]{4}

$$x= \frac{ { 4 }^{ 4 } }{ \sqrt[ 4 ]{ 4 } }$$

Whakaoti mō x

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 4 mā te pū o 4, kia riro ko 256.

$$x=\frac{256}{\sqrt[4]{4}}$$

Me tuhi anō te \sqrt[4]{4} ko \sqrt[4]{2^{2}}. Tahuritia i te āhua pūtake ki te āhua taupū ka whakakore i te 2 i te taupū. Tahuri anō ki te āhua pūtake.

$$\sqrt[4]{4}=\sqrt[4]{2^{2}}=2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt{2}$$

Me kōkuhu anō te uara i whiwhi i te kīanga.

$$x=\frac{256}{\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{256}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$x=\frac{256\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$x=\frac{256\sqrt{2}}{2}$$

Whakawehea te 256\sqrt{2} ki te 2, kia riro ko 128\sqrt{2}.

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

Tautapa x

$$x≔128\sqrt{2}$$