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

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

Ovrednoti

$$4y$$

Koraki rešitve

Združite 3y in -5y, da dobite -2y.

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

Razčlenite \left(-2y\right)^{2}.

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

Izračunajte potenco -2 števila 2, da dobite 4.

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

Pomnožite 4 in 2, da dobite 8.

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

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 2 in 3, da dobite 5.

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

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

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

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 2, da dobite 4.

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

Izračunajte potenco \frac{1}{2} števila 2, da dobite \frac{1}{4}.

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

Okrajšaj x^{2}y^{4} v števcu in imenovalcu.

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

Delite 8y s/z \frac{1}{4} tako, da pomnožite 8y z obratno vrednostjo \frac{1}{4}.

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

Nasprotna vrednost -8y je 8y.

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

Združite 20y in 8y, da dobite 28y.

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

Pomnožite 8 in 4, da dobite 32.

$$32y-28y$$

Združite 32y in -28y, da dobite 4y.

$$4y$$

Razširi

$$4y$$

Koraki rešitve

Združite 3y in -5y, da dobite -2y.

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

Razčlenite \left(-2y\right)^{2}.

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

Izračunajte potenco -2 števila 2, da dobite 4.

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

Pomnožite 4 in 2, da dobite 8.

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

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 2 in 3, da dobite 5.

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

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

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

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 2, da dobite 4.

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

Izračunajte potenco \frac{1}{2} števila 2, da dobite \frac{1}{4}.

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

Okrajšaj x^{2}y^{4} v števcu in imenovalcu.

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

Delite 8y s/z \frac{1}{4} tako, da pomnožite 8y z obratno vrednostjo \frac{1}{4}.

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

Nasprotna vrednost -8y je 8y.

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

Združite 20y in 8y, da dobite 28y.

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

Pomnožite 8 in 4, da dobite 32.

$$32y-28y$$

Združite 32y in -28y, da dobite 4y.

$$4y$$