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64 . 4x = 168
43 . 4x = 416
43+x = 416
3 + x = 16
x = 16 - 3
x = 13
16 . 64 . 82 : ( 43 . 25 . 16 )
= 24 . 26 . ( 23 )2 : [ ( 22 )3 . 25 . 24 )
= 210 . 26 : ( 26 . 29 )
= 216 : 215
= 2
\(\frac{\frac{1}{3}+\frac{1}{7}-\frac{1}{13}}{\frac{2}{3}+\frac{4}{14}-\frac{2}{13}}\times\frac{\frac{3}{4}-\frac{3}{16}+\frac{3}{64}-\frac{3}{256}}{1-\frac{1}{4}+\frac{1}{16}-\frac{1}{64}}+\frac{5}{8}\)
\(=\frac{\frac{2}{6}+\frac{2}{14}-\frac{2}{26}}{\frac{4}{6}+\frac{4}{14}-\frac{4}{26}}\times\frac{\frac{3}{4}-\frac{3}{16}+\frac{3}{64}-\frac{3}{356}}{\frac{4}{4}-\frac{4}{16}+\frac{4}{64}-\frac{4}{256}}+\frac{5}{8}\)
\(=\frac{2\left(\frac{1}{6}+\frac{1}{14}-\frac{1}{26}\right)}{4\left(\frac{1}{6}+\frac{1}{14}-\frac{1}{26}\right)}\times\frac{3\left(\frac{1}{4}-\frac{1}{16}+\frac{1}{64}-\frac{1}{356}\right)}{4\left(\frac{1}{4}-\frac{1}{16}+\frac{1}{64}-\frac{1}{256}\right)}+\frac{5}{8}\)
\(=\frac{2}{4}\times\frac{3}{4}+\frac{5}{8}\)
\(=\frac{1}{2}\times\frac{3}{4}+\frac{5}{8}\)
\(=\frac{3}{8}+\frac{5}{8}\)
\(=\frac{8}{8}=1\)
\(\frac{\frac{109}{3.7.13}}{\frac{361}{3.14.13}}\)\(\frac{\frac{153}{256}}{\frac{51}{64}}\)+5/8
=\(\frac{327}{722}\)+5/8
=\(\frac{3113}{2888}\)
43.25.16=(22)3.25.24=26.25.24=215
32.64.82=25.26.26=217
=> A=217:215=217-15=22=4
Đáp số: A=4
\(\frac{32.64.8^2}{4^3\cdot2^5\cdot16}=\frac{2^5.2^6.2^6}{2^6.2^5.2^3}\)
\(=\frac{2^{5+6+6}}{2^{6+5+3}}=\frac{2^{17}}{2^{14}}=2^{17-14}=2^3=8\)
Mình giải thích thêm nha
\(8^2=\left(2^3\right)^2=2^6\)
\(4^3=\left(2^2\right)^3=2^6\)
\(16\cdot64\cdot8^2:\left(4^3\cdot2^5\cdot16\right)\)
\(=16\cdot64\cdot64:\left(64\cdot32\cdot16\right)\)
\(=2\cdot\left(16\cdot32\cdot64\right):\left(64\cdot32\cdot16\right)\)
\(=2\)