Question

Ребзя помогите решить карточку плачу 85 балов

Answer 1

$displaystylettboxed{1}\\(xb)^{11}=x^{11}b^{11}\\ (-b^8)^4=(b^8)^4= b^{8cdot4}=b^{32}\\ bigg( frac{2}{3}aybigg)^3=frac{2^3}{3^3}cdot a^3cdot y^3=frac{8}{27} a^3y^3\\ ((a^4)^3)^2=a^{4cdot3cdot2}=a^{24}$

$displaystylettboxed{2}\\ a^{12}x^{12}=(ax)^{12}\\ 81b^4=3^4cdot b^4=(3b)^4\\ frac{16}{625}a^8b^4= bigg(frac{2^4}{5^4}bigg)cdot(a^2)^4cdot b^4=bigg(frac{2}{5}a^2bbigg)^4$

$displaystylettboxed{3}\\ (-aa^6)^4=(-a)^4cdot(a^6)^4=a^4cdot a^{24}=a^{28}\\ (a^9)^3cdot a^6=a^{27}cdot a^6=a^{33}\\ (a^8)^2cdot(a^5)^3=a^{16}cdot a^{15}=a^{31}$

$displaystylettboxed{4}\\ 0.4^6cdot2.5^6=(0.4cdot2.5)^6=1^6=1\\ 12.5^6cdot0.8^6=(12.5cdot0.8)^6=10^6=1000000\\ frac{3^7cdot(3^5)^2}{3^9cdot81}=frac{3^7cdot3^{10}}{3^9cdot3^4}=frac{3^{17}}{3^{13}}=3^4=81$