Issolvi (-16/5x^4y^3z):(8/25x^2y):(-3/2xy)

$$( - \frac { 16 } { 5 } x ^ { 4 } y ^ { 3 } z ) : ( \frac { 8 } { 25 } x ^ { 2 } y ) : ( - \frac { 3 } { 2 } x y )$$

Evalwa

$$\frac{20xyz}{3}$$

Passi tas-Soluzzjonijiet

Esprimi \frac{\frac{-\frac{16}{5}x^{4}y^{3}z}{\frac{8}{25}x^{2}y}}{-\frac{3}{2}xy} bħala frazzjoni waħda.

$$\frac{-\frac{16}{5}x^{4}y^{3}z}{\frac{8}{25}x^{2}y\left(-\frac{3}{2}\right)xy}$$

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

$$\frac{-\frac{16}{5}xyz}{-\frac{3}{2}\times \frac{8}{25}}$$

Immultiplika -\frac{3}{2} u \frac{8}{25} biex tikseb -\frac{12}{25}.

$$\frac{-\frac{16}{5}xyz}{-\frac{12}{25}}$$

Iddividi -\frac{16}{5}xyz b'-\frac{12}{25} billi timmultiplika -\frac{16}{5}xyz bir-reċiproku ta' -\frac{12}{25}.

$$\frac{-\frac{16}{5}xyz\times 25}{-12}$$

Immultiplika -\frac{16}{5} u 25 biex tikseb -80.

$$\frac{-80xyz}{-12}$$

Iddividi -80xyz b'-12 biex tikseb\frac{20}{3}xyz.

$$\frac{20}{3}xyz$$

Iddifferenzja w.r.t. x

$$\frac{20yz}{3}$$