a)2 mũ 4.x-3.5x=5 mũ 2 – 2 mũ 4 b)3 mũ 2.x+2 mũ 2 =26.2 mũ 2 -13 c) 5 mũ 2.x – 2 mũ 4 .x=3 mũ 4 – 6.3 mũ 2 d)7 mũ 2 x-14x=7 mũ 2 .10-70 e)6 mũ 2 x – 5

Giải thích các bước giải:

Ta có:

\(\begin{array}{l}
a,\\
{2^4}.x – 3.5x = {5^2} – {2^4}\\
 \Leftrightarrow 16.x – 15.x = 25 – 16\\
 \Leftrightarrow \left( {16 – 15} \right).x = 9\\
 \Leftrightarrow 1.x = 9\\
 \Leftrightarrow x = 9\\
b,\\
{3^2}.x + {2^2} = {26.2^2} – 13\\
 \Leftrightarrow 9.x + 4 = 26.4 – 13\\
 \Leftrightarrow 9.x + 4 = 104 – 13\\
 \Leftrightarrow 9.x + 4 = 91\\
 \Leftrightarrow 9.x = 91 – 4\\
 \Leftrightarrow 9.x = 87\\
 \Leftrightarrow x = 87:9\\
 \Leftrightarrow x = \frac{{29}}{3}\\
c,\\
{5^2}.x – {2^4}.x = {3^4} – {6.3^2}\\
 \Leftrightarrow 25.x – 16.x = 81 – 6.9\\
 \Leftrightarrow \left( {25 – 16} \right).x = 81 – 54\\
 \Leftrightarrow 9.x = 27\\
 \Leftrightarrow x = 27:9\\
 \Leftrightarrow x = 3\\
d,\\
{7^2}.x – 14x = {7^2}.10 – 70\\
 \Leftrightarrow 49.x – 14.x = 49.10 – 70\\
 \Leftrightarrow \left( {49 – 14} \right).x = 490 – 70\\
 \Leftrightarrow 35.x = 420\\
 \Leftrightarrow x = 420:35\\
 \Leftrightarrow x = 12\\
e,\\
{6^2}.x – {5^2}.x = {11.2^2} – 11\\
 \Leftrightarrow 36.x – 25.x = 11.4 – 11\\
 \Leftrightarrow \left( {36 – 25} \right).x = 44 – 11\\
 \Leftrightarrow 11.x = 33\\
 \Leftrightarrow x = 33:11\\
 \Leftrightarrow x = 3\\
g,\\
{7^2}.x – {6^2}x = {13.2^3} – 26\\
 \Leftrightarrow 49.x – 36.x = 13.8 – 13.2\\
 \Leftrightarrow \left( {49 – 36} \right).x = 13.\left( {8 – 2} \right)\\
 \Leftrightarrow 13.x = 13.6\\
 \Leftrightarrow x = 6\\
h,\\
{2^3}.x + {5^2}.x = 2.\left( {{5^2} + {2^3}} \right) – 33\\
 \Leftrightarrow 8.x + 25.x = 2.\left( {25 + 8} \right) – 33\\
 \Leftrightarrow \left( {8 + 25} \right).x = 2.33 – 33\\
 \Leftrightarrow 33.x = 66 – 33\\
 \Leftrightarrow 33.x = 33\\
 \Leftrightarrow x = 1
\end{array}\)