Issolvi 3^2left(2^-1right)^3{left(frac{1/3right)}^3{left(1/4right)}^-2}{6^-3}

$$\frac{ { 3 }^{ 2 } { \left( { 2 }^{ -1 } \right) }^{ 3 } { \left( \frac{ 1 }{ 3 } \right) }^{ 3 } { \left( \frac{ 1 }{ 4 } \right) }^{ -2 } }{ { 6 }^{ -3 } }$$

Evalwa

$$144$$

Passi tas-Soluzzjonijiet

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika -1 u 3 biex tikseb -3.

$$\frac{3^{2}\times 2^{-3}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$\frac{9\times 2^{-3}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Ikkalkula 2 bil-power ta' -3 u tikseb \frac{1}{8}.

$$\frac{9\times \frac{1}{8}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Immultiplika 9 u \frac{1}{8} biex tikseb \frac{9}{8}.

$$\frac{\frac{9}{8}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Ikkalkula \frac{1}{3} bil-power ta' 3 u tikseb \frac{1}{27}.

$$\frac{\frac{9}{8}\times \frac{1}{27}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Immultiplika \frac{9}{8} u \frac{1}{27} biex tikseb \frac{1}{24}.

$$\frac{\frac{1}{24}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Ikkalkula \frac{1}{4} bil-power ta' -2 u tikseb 16.

$$\frac{\frac{1}{24}\times 16}{6^{-3}}$$

Immultiplika \frac{1}{24} u 16 biex tikseb \frac{2}{3}.

$$\frac{\frac{2}{3}}{6^{-3}}$$

Ikkalkula 6 bil-power ta' -3 u tikseb \frac{1}{216}.

$$\frac{\frac{2}{3}}{\frac{1}{216}}$$

Iddividi \frac{2}{3} b'\frac{1}{216} billi timmultiplika \frac{2}{3} bir-reċiproku ta' \frac{1}{216}.

$$\frac{2}{3}\times 216$$

Immultiplika \frac{2}{3} u 216 biex tikseb 144.

$$144$$

Fattur

$$2^{4}\times 3^{2}$$