\(27A=3^3+3^6+3^9+3^{12}+...+3^{63}.\)

\(26A=27A-A=3^{63}-1\Rightarrow A=\frac{3^{63}-1}{26}\)

\(a.x-143=57\)

\(x=200\)

\(b.\left(8x-12\right):4=3^3\)

\(8x-12=27.4\)

\(8x-12=108\)

\(8x=120\)

\(x=15\)

\(d.10+2x=4^2\)

\(2x=16-10\)

\(2x=6\)

\(x=3\)

Ta có: \(\left(x-3\right)^3-3=3^0+3^1+2^5\cdot5\)

=>\(\left(x-3\right)^3-3=1+3+32\cdot5=160+4=164\)

=>\(\left(x-3\right)^3=167\)

=>\(x-3=\sqrt[3]{167}\)

=>\(x=3+\sqrt[3]{167}\)

\(a.2^6.\left(x-2\right)=104\)

\(x-2=104:2^6\)

\(x-2=1,652\)

\(x=1,625+2\)

\(x=3,625\)

\(b.2\times4^{x+1}=128\)

\(4^{x+1}=128:2\)

\(4^{x+1}=64\)

\(4^{x+1}=4^3\)

\(\Rightarrow x+1=3\)

\(x=3-1\)

\(\Leftrightarrow x=3\)

\(c.227-5\left(x+8\right)=3^6:3^3\)

\(227-5\left(x+8\right)=3^3\)

\(227-5\left(x+8\right)=27\)

\(5\left(x+8\right)=227-27\)

\(5\left(x+8\right)=200\)

\(x+8=200:5\)

\(x+8=40\)

\(x=40-8\)

\(x=32\)

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Hì hì xin lỗi trả lời muộn thông cảm

Câu 1:

\(8^3 . 8^9 . 8^{27} . ... . 8^{729} . 8^{2187}\)

\(=8^{3+9+27+...+729+2187}\)

\(=8^{3279}\)

Câu 2:

\((3^{50}+3^{51}+3^{52}):3^{49}\)

\(=3^{50}:3^{49}+3^{51}:3^{49}+3^{52}:3^{49}\)

\(=3+3^2+3^3\)

\(=3+9+27\)

\(=39\)

Câu 3:

\((5^{2015}+5^{2013}):5^{2013}\)

\(=5^{2015}:5^{2013}+5^{2013}:5^{2013}\)

\(=5^2+1\)

\(=25+1=26\)

Câu 4:

\(4^{15}.25^{15}+2^{30}.25^{15}\)

\(=(4^{15}+2^{30}).25^{15}\)

\(=(2^{30}+2^{30}).25^{15}\)

\(=2.2^{30}.25^{15}\)

\(=2^{31}.(5^2)^{15}\)

\(=2^{31}.5^{30}\)

\(=2.(2^{30}.5^{30})\)

\(=2.10^{30}\)