تدرب وحل التمرينات

جد ناتج الضرب في كل مما يأتي:

$\left(m^{4}n\right)\left(m^3{n}^{-4}\right)$

$m^7{n}^{-3}$

$\sqrt{5}{a}^2{b}^2{c}^3\left(2\sqrt{5}{a}^4\right)$

$10a^6{b}^2{c}^3$

$-7r^{4}v{y}^3\left(5r{v}^4{y}^2\right)$

$-35r^5{v}^5{y}^5$

$\sqrt[3]{-27}{x}^2{y}^2\left(\sqrt[3]{-8}xyz\right)$

$6x^3{y}^{3}z$

$(y-2)\left(xy\right)$

$x{y}^2-2xy$

$\left(\right|-3\left|z\right)w{x}^4{z}^{-3}$

$3z^{-2}w{x}^4$

$(8w-4)\left(7w^{-5}\right)$

$56w^{-4}-28w^{-5}$

$-3x{y}^{2}z(5x^4{y}^2+4x{y}^{2}z-6x^2{y}^2{z}^3)$

$\begin{array}{rl}& -15x^5{y}^{4}z-12x^2{y}^4{z}^2+18\\ & x^3{y}^4{z}^4\end{array}$

$\frac{1}{2}a{b}^{2}c\left(2a^{-1}{b}^{-2}{c}^{-1}\right)$

1

$(5a^{2}b+4a^{3}b-\frac{1}{2}ab{c}^2)8a^{-2}b$

$40b^2+32a{b}^2-4a^{-1}{b}^2{c}^2$

$hk(6h^2{k}^2-7h^{2}y+2zy)$

$6h^{3}k3-7h^{3}ky+2hkzy$

$12x^6{y}^7(1-\frac{1}{2}-x^{3}y)$

$12x^6{y}^7-6x^6{y}^7-12x^9{y}^8$

$\frac{-1}{3}{r}^2(r^2-\sqrt{7}{r}^{2}vy)$

$\frac{-1}{3}{r}^4+\frac{\sqrt{7}}{3}{r}^{4}vy$

$4ab(a^{2}b-\sqrt[3]{64}abc)$

$4a^3{b}^2-16a^2{b}^{2}c$

$x^{-4}(x-x^3{y}^5+\sqrt{2}{x}^{-2})$

$x^{-3}-x^{-1}{y}^5+\sqrt{3}{x}^{-6}$

$5m^{-3}(2m+n{z}^4+4)$

$10m^{-2}+5m^{-3}n{z}^4+20m^{-3}$

$|-3|r^2{v}^2\left(\right|4|rv+25)$

$12r^3{v}^3+75r^2{v}^2$

$\frac{1}{6}yz(36y^2{z}^2+6yz+36)$

$6y^2{z}^3+y^2{z}^2+6yz$

$\sqrt{9}\mathrm{gh}(2{\mathrm{g}}^4{h}^2+3\mathrm{gh}+5)$

$6g^5{h}^3+9g^2{h}^2+15gh$

$|-8|z^6{w}^5\left(\right|-2|z^{-6}{w}^{-5}+\frac{1}{4}{z}^4{w}^{-5})$

$16+2z^2$