Issolvi (3/2)^-2*(3/2)^3:(3/2)^4=

$$( \frac { 3 } { 2 } ) ^ { - 2 } \cdot ( \frac { 3 } { 2 } ) ^ { 3 } : ( \frac { 3 } { 2 } ) ^ { 4 } =$$

Evalwa

$$\frac{8}{27}\approx 0.296296296$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -2 u 3 biex tikseb 1.

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

Erġa' ikteb \left(\frac{3}{2}\right)^{4} bħala \left(\frac{3}{2}\right)^{1}\times \left(\frac{3}{2}\right)^{3}. Annulla \left(\frac{3}{2}\right)^{1} fin-numeratur u d-denominatur.

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

Ikkalkula \frac{3}{2} bil-power ta' 3 u tikseb \frac{27}{8}.

$$\frac{1}{\frac{27}{8}}$$

Iddividi 1 b'\frac{27}{8} billi timmultiplika 1 bir-reċiproku ta' \frac{27}{8}.

$$1\times \frac{8}{27}$$

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

$$\frac{8}{27}$$

Fattur

$$\frac{2 ^ {3}}{3 ^ {3}} = 0.2962962962962963$$