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Bạn có thể tham khảo lời giải ở đây nhé:
https://diendantoanhoc.org/topic/81694-t%C3%ADnh-t%E1%BB%95ng-s-13-23-33-n3/
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\(\Leftrightarrow5^{2x}\cdot5^{-1}=125=5^3\)
=>2x-1=3
hay x=2
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a) 2 mũ 6 nhân 125 mũ 2 = 1000000 ( 1 triệu )
b) 27 mũ 4 chia 3 mũ 8 = 81
c) 18 mũ 8 nhân 9 mũ 4 = 7.2301961e+13 ( tính được nhưng dài )
d) 4 mũ 9 chia 5 mũ 27 = 3.5184372e-14 ( tính được nhưng dài )
a. 26 . 1252
= (23)2 . 1252
= 82 . 1252
= (8.125)2 = 10002
b. 274 : 38
= (33)4 : 38
= 312 : 38
= 312-8 = 34
c. 188 . 94
= 188 . (32)4
= 188 . 38
= (18.3)8 = 548
d. 49 : 527
= 49 : (53)9
= 49 : 1259
= (4 : 125)9 = (0,032)9
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b) \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
\(=\dfrac{\left(0,8\right)^5}{\left(0.4\right)^5\cdot0,4}\)
\(=\left(\dfrac{0,8}{0,4}\right)^5\cdot\dfrac{1}{0,4}\)
\(=2^5\cdot\dfrac{5}{2}\)
\(=\dfrac{2^5\cdot5}{2}\)
\(=2^4\cdot5\)
\(=80\)
c) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}\)
\(=\dfrac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}\)
\(=\dfrac{2^{15}\cdot3^8}{2^{15}\cdot3^6}\)
\(=\dfrac{3^2}{1}\)
\(=9\)
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\(\dfrac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^{29}\cdot9^{10}-7\cdot2^{29}\cdot27^6}\)
\(=\dfrac{5\cdot2^{30}\cdot3^{18}-2^2\cdot2^{27}\cdot3^{20}}{5\cdot2^{29}\cdot3^{20}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{2^{29}\cdot3^{18}\left(5\cdot2-3^2\right)}{2^{29}\cdot3^{18}\left(5\cdot3^2-7\right)}\)
\(=\dfrac{10-9}{5\cdot9-7}=\dfrac{1}{38}\)
\(\dfrac{15^8}{2^4}\)
\(=\dfrac{\left(15^2\right)^4}{2^4}\)
\(=\dfrac{225^4}{2^4}\)
\(=\left(\dfrac{225}{2}\right)^4\)