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

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

Evalwa

$$\frac{16}{361}\approx 0.04432133$$

Passi tas-Soluzzjonijiet

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

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

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

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

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

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

Ikkalkula 2 bil-power ta' 1 u tikseb 2.

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

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

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

Żid 2 u \frac{1}{9} biex tikseb \frac{19}{9}.

$$\left(\frac{\frac{4}{9}}{\frac{19}{9}}\right)^{2}$$

Iddividi \frac{4}{9} b'\frac{19}{9} billi timmultiplika \frac{4}{9} bir-reċiproku ta' \frac{19}{9}.

$$\left(\frac{4}{9}\times \frac{9}{19}\right)^{2}$$

Immultiplika \frac{4}{9} u \frac{9}{19} biex tikseb \frac{4}{19}.

$$\left(\frac{4}{19}\right)^{2}$$

Ikkalkula \frac{4}{19} bil-power ta' 2 u tikseb \frac{16}{361}.

$$\frac{16}{361}$$

Fattur

$$\frac{2 ^ {4}}{19 ^ {2}} = 0.0443213296398892$$