упростите выражения 1)(x^2)^4*(x^4)^32) (mn)^2*m^3n^4 _____________ m*(mn)^33)(a^2*a^3)^44) (x^2y^3)^5 ________ (x^2)^2*y^5. Created by lika368. algebra-ru

упростите выражения 1)(x^2)^4*(x^4)^32) (mn)^2*m^3n^4 ____________

July 2022 2 7 Report

упростите 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

Artem112

Verified answer

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

3 votes Thanks 5

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

1 votes Thanks 2

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