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\(=\dfrac{7^9\cdot3^9\cdot3^9-3\cdot2^{18}\cdot3^8}{2^9\cdot2^{10}\cdot3^9+2^{20}\cdot3^{10}}=\dfrac{3^9\left(7\cdot3^9-2^{18}\right)}{2^{19}\cdot3^9\left(1+2\cdot3\right)}=\dfrac{-124363}{2^{19}\cdot7}=\dfrac{-124363}{3670016}\)
\(\dfrac{-3}{7}.\dfrac{2}{11}+\left(\dfrac{-3}{7}\right).\dfrac{9}{11}+1.\left(\dfrac{-3}{7}\right)=\left(\dfrac{-3}{7}\right).\left(\dfrac{2}{11}+\dfrac{9}{11}+1\right)=\left(\dfrac{-3}{7}\right).\left(1+1\right)=\dfrac{-3}{7}.2=\dfrac{-6}{7}\)
\(\left(15x-3\right)^{2019}=1=1^{2019}\)
\(\Rightarrow15x-3=1\)
\(\Rightarrow15x=3\)
\(\Rightarrow x=\frac{3}{15}\)
\(\Rightarrow x=\frac{1}{5}\)
`a)` `2/5 + 3/5 xx 4/9 - 1/3`
`= 2/5 + 4/15 - 1/3`
`= 6/15 + 4/15 - 5/15`
`= 1/3`
`b)` `( 5/2 - 1/3 ) xx 9/2 - 1/2`
`= ( 15/6 - 2/6 ) xx 9/2 - 1/2`
`= 13/6 xx 9/2 - 1/2`
`= 39/4 - 2/4`
`= 37/4`
3,47<3,x9<3,82
x=4,5,6,7
25,41<x<32,1
x=26,27,28,29,30,31,32
=x^3(x^6+15)