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

$$4$$

Passi tas-Soluzzjonijiet

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

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

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

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

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

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

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

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

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

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

Immultiplika 2 u \frac{1}{9} biex tikseb \frac{2}{9}.

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

Iddividi \frac{4}{9} b'\frac{2}{9} billi timmultiplika \frac{4}{9} bir-reċiproku ta' \frac{2}{9}.

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

Immultiplika \frac{4}{9} u \frac{9}{2} biex tikseb 2.

$$2^{2}$$

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

$$4$$

Fattur

$$2^{2}$$