Lahenda 9^2frac{9/{left(6frac{6{sqrt{6}}right)}^2}}{}

$$\frac{ { 9 }^{ 2 } \frac{ 9 }{ { \left(6 \frac{ 6 }{ \sqrt{ 6 } } \right) }^{ 2 } } }{ }$$

Arvuta

$$\frac{27}{8}=3,375$$

Lahenduse etapid

Arvutage 2 aste 9 ja leidke 81.

$$\frac{81\times \frac{9}{\left(6\times \frac{6}{\sqrt{6}}\right)^{2}}}{1}$$

Ratsionaliseerige korrutades lugeja ja \sqrt{6} nimetaja \frac{6}{\sqrt{6}} nimetaja.

$$\frac{81\times \frac{9}{\left(6\times \frac{6\sqrt{6}}{\left(\sqrt{6}\right)^{2}}\right)^{2}}}{1}$$

\sqrt{6} ruut on 6.

$$\frac{81\times \frac{9}{\left(6\times \frac{6\sqrt{6}}{6}\right)^{2}}}{1}$$

Taandage 6 ja 6.

$$\frac{81\times \frac{9}{\left(6\sqrt{6}\right)^{2}}}{1}$$

Laiendage \left(6\sqrt{6}\right)^{2}.

$$\frac{81\times \frac{9}{6^{2}\left(\sqrt{6}\right)^{2}}}{1}$$

Arvutage 2 aste 6 ja leidke 36.

$$\frac{81\times \frac{9}{36\left(\sqrt{6}\right)^{2}}}{1}$$

\sqrt{6} ruut on 6.

$$\frac{81\times \frac{9}{36\times 6}}{1}$$

Korrutage 36 ja 6, et leida 216.

$$\frac{81\times \frac{9}{216}}{1}$$

Taandage murd \frac{9}{216} vähimale ühiskordsele, eraldades ja taandades arvu 9.

$$\frac{81\times \frac{1}{24}}{1}$$

Korrutage 81 ja \frac{1}{24}, et leida \frac{27}{8}.

$$\frac{\frac{27}{8}}{1}$$

Arv jagatuna ühega annab tulemiks arvu enda.

$$\frac{27}{8}$$

Lahuta teguriteks

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3,375$$