Question

Выражения 1)(x^2)^4*(x^4)^3 2) (mn)^2*m^3n^4 m*(mn)^3 3)(a^2*a^3)^4 4) (x^2y^3)^5 (x^2)^2*y^5

Answer 1

$(x^2)^4\cdot(x^4)^3=x^8\cdot x^1^2=x^2^0 \\\ \frac{(mn)^2\cdot m^3n^4}{m\cdot(mn)^3} = \frac{m^5n^6}{m^4n^3}=mn^3 \\\ (a^2\cdot a^3)^4=a^2^0 \\\ \frac{(x^2y^3)^5}{ (x^2)^2\cdot y^5} = \frac{x^1^0y^1^5}{ x^4\cdot y^5} = x^6y^1^0$

Answer 2

$\rm (x^2)^4\cdot (x^4)^3=x^8 \cdot x^{12}=x^{20} \\\\ \cfrac {(mn)^2m^3n^4}{m\cdot (mn)^3}=\cfrac {m^5n^6}{m^4n^3}=mn^3$
$\rm (a^2\cdot a^3)^4=(a^5)^4=a^{20} \\\\ \cfrac {(x^2y^3)^5}{(x^2)^2\cdot y^5}=\cfrac {x^{10}y^{15}}{x^4y^5}=x^6y^{10}$