Issolvi ((frac{2/3)^{4}(3/2)^2}{2^2+(1/3)^2})^2=

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

Evalwa

$$\frac{16}{1369}\approx 0.011687363$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{2}{3} bil-power ta' 4 u tikseb \frac{16}{81}.

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

Ikkalkula \frac{3}{2} bil-power ta' 2 u tikseb \frac{9}{4}.

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

Immultiplika \frac{16}{81} u \frac{9}{4} biex tikseb \frac{4}{9}.

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

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

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

Ikkalkula \frac{1}{3} bil-power ta' 2 u tikseb \frac{1}{9}.

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

Żid 4 u \frac{1}{9} biex tikseb \frac{37}{9}.

$$\left(\frac{\frac{4}{9}}{\frac{37}{9}}\right)^{2}$$

Iddividi \frac{4}{9} b'\frac{37}{9} billi timmultiplika \frac{4}{9} bir-reċiproku ta' \frac{37}{9}.

$$\left(\frac{4}{9}\times \frac{9}{37}\right)^{2}$$

Immultiplika \frac{4}{9} u \frac{9}{37} biex tikseb \frac{4}{37}.

$$\left(\frac{4}{37}\right)^{2}$$

Ikkalkula \frac{4}{37} bil-power ta' 2 u tikseb \frac{16}{1369}.

$$\frac{16}{1369}$$

Fattur

$$\frac{2 ^ {4}}{37 ^ {2}} = 0.01168736303871439$$