Lahenda ((frac{2/3)^{4}(3/2)^2}{2^2*(1/3)^2})^2

$$( \frac { ( \frac { 2 } { 3 } ) ^ { 4 } ( \frac { 3 } { 2 } ) ^ { 2 } } { 2 ^ { 2 } * ( \frac { 1 } { 3 } ) ^ { 2 } } ) ^ { 2 }$$

Arvuta

$$1$$

Lahenduse etapid

Arvutage 4 aste \frac{2}{3} ja leidke \frac{16}{81}.

$$\left(\frac{\frac{16}{81}\times \left(\frac{3}{2}\right)^{2}}{2^{2}\times \left(\frac{1}{3}\right)^{2}}\right)^{2}$$

Arvutage 2 aste \frac{3}{2} ja leidke \frac{9}{4}.

$$\left(\frac{\frac{16}{81}\times \frac{9}{4}}{2^{2}\times \left(\frac{1}{3}\right)^{2}}\right)^{2}$$

Korrutage \frac{16}{81} ja \frac{9}{4}, et leida \frac{4}{9}.

$$\left(\frac{\frac{4}{9}}{2^{2}\times \left(\frac{1}{3}\right)^{2}}\right)^{2}$$

Arvutage 2 aste 2 ja leidke 4.

$$\left(\frac{\frac{4}{9}}{4\times \left(\frac{1}{3}\right)^{2}}\right)^{2}$$

Arvutage 2 aste \frac{1}{3} ja leidke \frac{1}{9}.

$$\left(\frac{\frac{4}{9}}{4\times \frac{1}{9}}\right)^{2}$$

Korrutage 4 ja \frac{1}{9}, et leida \frac{4}{9}.

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

Jagage \frac{4}{9} väärtusega \frac{4}{9}, et leida 1.

$$1^{2}$$

Arvutage 2 aste 1 ja leidke 1.

$$1$$

Lahuta teguriteks

$$1$$