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a, A = \(\dfrac{3^9\times3^{20}\times2^8}{3^{24}\times243\times2^6}\)
A = \(\dfrac{3^{29}\times2^8}{3^{24}\times3^5\times2^6}\)
A = \(\dfrac{3^{39}\times3^{20}\times2^8}{3^{29}\times2^6}\)
A = 22
A = 4
b, \(\dfrac{2^{15}\times5^3\times2^6\times3^4}{8\times2^{18}\times81\times5}\)
B = \(\dfrac{2^{21}\times3^4\times5^3}{2^3\times2^{18}\times3^4\times5}\)
B = \(\dfrac{2^{21}\times3^4\times5^3}{2^{21}\times3^4\times5}\)
B = 52
B = 25
24 . 26 . 2 = 211
35 . 27 . 81 . 36 = 35 . 33 . 34 . 36 = 318
42 . 415 . 64 = 42 . 415 . 43 = 420
29 . 16 . 48 = 29 . 24 . (22)8 = 29 . 24 . 216 = 229
512 : 54 = 58
274 : 34 = (27:3)4 = 94
\(P=\frac{3^9.3^{20}.3^8}{3^{24}.2^6.343}\)
\(\Leftrightarrow P=\frac{3^{37}}{3^{24}.2^6.3^5}\)
\(\Leftrightarrow P=\frac{3^{37}}{3^{29}.2^6}\)
\(\Leftrightarrow P=\frac{3^8}{2^6}\)
\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)
\(b,\)Tương tự
\(\dfrac{9^{14}\cdot25^5\cdot8^7}{18^2\cdot625^3\cdot24^3}\)
\(=\dfrac{3^{42}\cdot5^{10}\cdot2^{21}}{2^2\cdot3^4\cdot5^{12}\cdot2^9\cdot3^3}=\dfrac{3^{42}\cdot5^{10}\cdot2^{21}}{2^{11}\cdot3^7\cdot5^{12}}\)
\(=\dfrac{3^{35}}{5^2}\cdot2^{10}\)
a,\(5^3.2-100:4+2^3.5\)
= 125 . 2 - 25 + 8 . 5
= 250 - 25 + 40
= 265
b, \(6^2:9+50.2-3^3.3\)
= 36 : 9 + 100 - 27 . 3
= 4 + 100 - 81
= 23
Q=215.26.53.34/23.218.34.5
Q=221.53.34/221.34.5
Q=25
MỘT K NHÉ
\(P=\frac{3^9\cdot3^{20}\cdot2^8}{3^{24}\cdot243\cdot2^6}\)
\(P=\frac{3^{29}\cdot2^8}{3^{29}\cdot2^6}\)
\(P=2^2=4\)
\(Q=\frac{2^{15}\cdot5^3\cdot2^6\cdot3^4}{8\cdot2^{18}\cdot81\cdot5}\)
\(Q=\frac{2^{21}\cdot5^3\cdot3^4}{2^{21}\cdot3^4\cdot5}\)
\(Q=5^2=25\)