Issolvi 2^{-4}*3^4*4^-3*5^3*3^5=

$$2 ^ { - 4 } \cdot 3 ^ { 4 } \cdot 4 ^ { - 3 } \cdot 5 ^ { 3 } \cdot 3 ^ { 5 } =$$

Evalwa

$$\frac{2460375}{1024}\approx 2402.709960938$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 4 u 5 biex tikseb 9.

$$2^{-4}\times 3^{9}\times 4^{-3}\times 5^{3}$$

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

$$\frac{1}{16}\times 3^{9}\times 4^{-3}\times 5^{3}$$

Ikkalkula 3 bil-power ta' 9 u tikseb 19683.

$$\frac{1}{16}\times 19683\times 4^{-3}\times 5^{3}$$

Immultiplika \frac{1}{16} u 19683 biex tikseb \frac{19683}{16}.

$$\frac{19683}{16}\times 4^{-3}\times 5^{3}$$

Ikkalkula 4 bil-power ta' -3 u tikseb \frac{1}{64}.

$$\frac{19683}{16}\times \frac{1}{64}\times 5^{3}$$

Immultiplika \frac{19683}{16} u \frac{1}{64} biex tikseb \frac{19683}{1024}.

$$\frac{19683}{1024}\times 5^{3}$$

Ikkalkula 5 bil-power ta' 3 u tikseb 125.

$$\frac{19683}{1024}\times 125$$

Immultiplika \frac{19683}{1024} u 125 biex tikseb \frac{2460375}{1024}.

$$\frac{2460375}{1024}$$

Fattur

$$\frac{3 ^ {9} \cdot 5 ^ {3}}{2 ^ {10}} = 2402\frac{727}{1024} = 2402.7099609375$$