Issolvi (1*10^-4cm)*(0.4*15^-4cm)/4*10^-9cm^2

$$\frac { ( 1 \times 10 ^ { - 4 } cm ) \times ( 0.4 \times 15 ^ { - 4 } cm ) } { 4 \times 10 ^ { - 9 } cm ^ { 2 } }$$

Evalwa

$$\frac{16c}{81}$$

Passi tas-Soluzzjonijiet

Immultiplika c u c biex tikseb c^{2}.

$$\frac{1\times 10^{-4}c^{2}m\times 0.4\times 15^{-4}m}{4\times 10^{-9}cm^{2}}$$

Immultiplika m u m biex tikseb m^{2}.

$$\frac{1\times 10^{-4}c^{2}m^{2}\times 0.4\times 15^{-4}}{4\times 10^{-9}cm^{2}}$$

Annulla cm^{2} fin-numeratur u d-denominatur.

$$\frac{0.4\times 10^{-4}\times 15^{-4}c}{4\times 10^{-9}}$$

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tad-denominatur mill-esponent tan-numeratur.

$$\frac{0.4\times 10^{5}\times 15^{-4}c}{4}$$

Ikkalkula 10 bil-power ta' 5 u tikseb 100000.

$$\frac{0.4\times 100000\times 15^{-4}c}{4}$$

Immultiplika 0.4 u 100000 biex tikseb 40000.

$$\frac{40000\times 15^{-4}c}{4}$$

Ikkalkula 15 bil-power ta' -4 u tikseb \frac{1}{50625}.

$$\frac{40000\times \frac{1}{50625}c}{4}$$

Immultiplika 40000 u \frac{1}{50625} biex tikseb \frac{64}{81}.

$$\frac{\frac{64}{81}c}{4}$$

Iddividi \frac{64}{81}c b'4 biex tikseb\frac{16}{81}c.

$$\frac{16}{81}c$$

Iddifferenzja w.r.t. c

$$\frac{16}{81} = 0.19753086419753085$$

Passi tas-Soluzzjonijiet

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tad-denominatur mill-esponent tan-numeratur.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{2cmm}{2531250000\times \frac{4m^{2}}{1000000000}}c^{1-1})$$

Agħmel l-aritmetika.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{16c}{81}c^{0})$$

Għal kwalunkwe numru a ħlief 0, a^{0}=1.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{16c}{81})$$

Id-derivattiv tat-terminu kostanti huwa 0.

$$0$$