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Объяснение:
27^(2n+1)*2^(6n-1)/36^(3n+1)=(3^3)^(2n+1) *2^(6n-1)/(9*4)^(3n+1)=3^(6n+3)*2(6n-1)/(3^2*2^2)^(3n+1)=3^6n*3^3*2^6n*2^(-1)/3^6n*3^2*2^6n*2^2=3*2^(-3)=
3*1/8=3/8, все по правилам: а^2*a^3=a^5, a^6:a^2=a^4, (2*3)^3=2^3*3^3=8*27, 5^(n+2)=5^n*5^2=25*5^n, 5^(-2)=1/5^2=1/25
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Объяснение:
27^(2n+1)*2^(6n-1)/36^(3n+1)=(3^3)^(2n+1) *2^(6n-1)/(9*4)^(3n+1)=3^(6n+3)*2(6n-1)/(3^2*2^2)^(3n+1)=3^6n*3^3*2^6n*2^(-1)/3^6n*3^2*2^6n*2^2=3*2^(-3)=
3*1/8=3/8, все по правилам: а^2*a^3=a^5, a^6:a^2=a^4, (2*3)^3=2^3*3^3=8*27, 5^(n+2)=5^n*5^2=25*5^n, 5^(-2)=1/5^2=1/25