Issolvi [(3y-5y)^{2}*(2x^2y^3)]:(1/2xy^2)^2-[20y-(-8y)]

$$[ ( 3 y - 5 y ) ^ { 2 } * ( 2 x ^ { 2 } y ^ { 3 } ) ] : ( \frac { 1 } { 2 } x y ^ { 2 } ) ^ { 2 } - [ 20 y - ( - 8 y ) ]$$

Evalwa

$$4y$$

Passi tas-Soluzzjonijiet

Ikkombina 3y u -5y biex tikseb -2y.

$$\frac{\left(-2y\right)^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Espandi \left(-2y\right)^{2}.

$$\frac{\left(-2\right)^{2}y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

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

$$\frac{4y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Immultiplika 4 u 2 biex tikseb 8.

$$\frac{8y^{2}x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 2 u 3 biex tikseb 5.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Espandi \left(\frac{1}{2}xy^{2}\right)^{2}.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}\left(y^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 2 u 2 biex tikseb 4.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

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

$$\frac{8y^{5}x^{2}}{\frac{1}{4}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

Annulla x^{2}y^{4} fin-numeratur u d-denominatur.

$$\frac{8y}{\frac{1}{4}}-\left(20y-\left(-8y\right)\right)$$

Iddividi 8y b'\frac{1}{4} billi timmultiplika 8y bir-reċiproku ta' \frac{1}{4}.

$$8y\times 4-\left(20y-\left(-8y\right)\right)$$

L-oppost ta' -8y huwa 8y.

$$8y\times 4-\left(20y+8y\right)$$

Ikkombina 20y u 8y biex tikseb 28y.

$$8y\times 4-28y$$

Immultiplika 8 u 4 biex tikseb 32.

$$32y-28y$$

Ikkombina 32y u -28y biex tikseb 4y.

$$4y$$

Espandi

$$4y$$

Passi tas-Soluzzjonijiet

Ikkombina 3y u -5y biex tikseb -2y.

$$\frac{\left(-2y\right)^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Espandi \left(-2y\right)^{2}.

$$\frac{\left(-2\right)^{2}y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

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

$$\frac{4y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Immultiplika 4 u 2 biex tikseb 8.

$$\frac{8y^{2}x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 2 u 3 biex tikseb 5.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Espandi \left(\frac{1}{2}xy^{2}\right)^{2}.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}\left(y^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 2 u 2 biex tikseb 4.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

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

$$\frac{8y^{5}x^{2}}{\frac{1}{4}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

Annulla x^{2}y^{4} fin-numeratur u d-denominatur.

$$\frac{8y}{\frac{1}{4}}-\left(20y-\left(-8y\right)\right)$$

Iddividi 8y b'\frac{1}{4} billi timmultiplika 8y bir-reċiproku ta' \frac{1}{4}.

$$8y\times 4-\left(20y-\left(-8y\right)\right)$$

L-oppost ta' -8y huwa 8y.

$$8y\times 4-\left(20y+8y\right)$$

Ikkombina 20y u 8y biex tikseb 28y.

$$8y\times 4-28y$$

Immultiplika 8 u 4 biex tikseb 32.

$$32y-28y$$

Ikkombina 32y u -28y biex tikseb 4y.

$$4y$$