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511 x 2512 x 12514 x 62516
= 511 x (52)12 x (53)14 x (54)16
= 511 x 524 x 542 x 564
= 5141
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a) [(3x-39):7] .36 =7236
[ ( 3x - 39 ) : 7 ] = 7236 : 36
[ ( 3x - 39 ) :7 ] = 201
( 3x - 39 ) = 201 . 7
( 3x - 39 ) = 1407
3x = 1407 + 39
3x = 1446
x = 1446 :3
x = 482
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đơn giản thôi bạn
3 (x + 25)
= 3x + 3*25 (bạn nhân 3 với từng số trong ngoặc) (*là nhân nhé)
= 3x + 75
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Câu 2:
\(\left(-13x^4y^m\right)\left(-3x^ny^6\right)=39x^{15}y^8\)
\(\left[\left(-13\right)\left(-3\right)\right]\left[x^4x^n\right]\left[y^my^6\right]=39x^{15}y^8\)
\(39x^{4+n}y^{m+6}=39x^{15}y^8\)
\(\Rightarrow\left\{{}\begin{matrix}4+n=15\\m+6=8\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}n=11\\m=2\end{matrix}\right.\)
Vậy \(\left(m,n\right)=\left(2;11\right)\)
#hoctotnhe
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\(\frac{125^{3x}}{25^x}=5^{14}=>\frac{\left(5^3\right)^{3x}}{\left(5^2\right)^x}=5^{14}=>\frac{5^{9x}}{5^{2x}}=5^{14}=>5^{7x}=5^{14}=>7x=14=>x=2\)