Question

Proszę o rozwiązanie przykładu A,B,C

Answer 1

A)((3/5)^5 :(7/5)^3 )*(3/7)^-4=
=(3^5/5^5 :7^3/5^3)*(7/3)^4=
=3^5/5^5 *5^3/7^3 *7^4/3^4=
=(3*1*7)/(5^2*1*1)=21/25

b)((1 4/5)^3 *(1 1/2)^-6) :(5/8)^-2=
=((9^3/5^3)*(2^6)/3^6) ):(8/5)^2=
=((3^3)^3/5^3 * 2^6/3^6 )*5^2/8^2=
=(3^9*2^6 /5^3*3^6)*5^2/(2^3)^2=
=3^3*2^6/ 5^3  *  5^2/2^8=
=3^3/5*2^2=
=3^3/5*2^2=27/(5*4)=27/20=1 7/20

c)(8/9)^4 * (16/27)^-2=
=(2^3)^4/(3^2)^4  *  (27/16)^2=
=2^12/3^8 * (3^3)^2/(2^4)^2=
=2^12*3^6/3^8*2^8=
=2^4/3^2=16/9=1 7/9