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Ai giúp mình với, ai có câu trả lời chính xác mình sẽ kết bạn với nick đó
a, \(\left(1+3x\right)^4=256\)
\(\left(1+3x\right)^4=4^4\)
\(\Rightarrow1+3x=4\)
\(\Rightarrow3x=3\)
\(x=1\)
b, \(A=\dfrac{3^{15}.29+3^{15}.88}{3^{13}.81}\)
\(A=\dfrac{3^{15}\left(29+88\right)}{3^{13}.81}\)
\(A=\dfrac{3^{15}.117}{3^{13}.3^4}\)
\(A=\dfrac{3^{15}.3^2.13}{3^{17}}\)
\(A=\dfrac{3^{17}.13}{3^{17}}=13\)
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\(5^{20}:\left(5^{15}.6+5^{15}.9\right)\\ =5^{20}:\left[5^{15}\left(6+9\right)\right]\\ =5^{20}:\left(5^{15}.15\right)\\ =5^{20}:\left(5^{15}.5.3\right)\\ =5^{20}:\left(5^{16}.3\right)\\ =5^4:3\\ =625:3\\ =\dfrac{625}{3}\)
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mk viết nhầm nha \(\frac{5^{20}}{5^{15.6}+5^{15.19}}=\frac{5^{20}}{5^{90}+5^{285}}\)
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15.6 + 15.29 + 15.65
= 15 . ( 29 + 6 + 65 )
= 15.100
= 1500
TL
15 . 6 + 15 . 29 + 15 . 65
= 15 . ( 6 + 29 + 65 )
= 15 . 100
= 1500
bn nhé