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8 mũ 5 + 2 mũ 11 = 2 mũ 3 tất cả mũ 5 + 2 mũ 11
= 2 mũ 15 + 2 mũ 11
= 2 mũ 11(2 mũ 4 + 1)
= 2 mũ 11 * 17
125 : 5^2 . (x-3) = 3
125 : 25 .(x-3) = 3
5 (x-3) =3
x-3 = 3 : 5
Đề bài sai hay sao ý?
2x -5 = 3
2x = 3+5 =8
x =4
(19 .x+2.5^2 ): 14 = (13-8)^2 - 4^2
19x + 50) : 14 = 25 - 16
(19x+50) : 14 = 9
19x+50 = 3*14 = 126
19x = 126-50 = 76
x = 76 / 19 = 4
\(a\)) \(125:5^2.\left(x-3\right)=3\)
\(5^3:5^2.\left(x-3\right)=3\)
\(5.\left(x-3\right)=3\)
\(5x-15=3\)
\(5x=3+15\)
\(5x=18\)
\(x=\frac{18}{5}\)\(.\)Vậy \(x=\frac{18}{5}\)
\(b\)) \(\left(2x-5\right)^3=27\)
\(\left(2x-5\right)^3=3^3\)
\(\Rightarrow2x-5=3\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=4\)\(.\)Vậy \(x=4\)
\(c\))\(\left(19.x+2.5^2\right):14=\left(13-8\right)^2-4^2\)
\(\left(19.x+2.25\right):14=5^2-16\)
\(\left(19.x+2.25\right):14=25-16\)
\(\left(19.x+50\right):14=9\)
\(19.x+50=126\)
\(19.x=126-50\)
\(19.x=76\)
\(x=76:19\)
\(x=4\)\(.\)Vậy \(x=4\)
\(7\left(5-x\right)+5\left(x-2\right)=15\)
\(3x-7x+5x-10=15\)
\(x-10=15\)
\(x=25\)
1, x-(-19)+(-2)5=14-(-2)4
x+19+(-32)=14-16
x+19+(-32)=-2
x+19=-2-(-32)
x+19=30
x=30-19
x=11
Vậy x=11
2)7.(5-x)+5(x-2)=15
35-7x+5x-10=15
-7x+5x=15-35+10
-2x=-10
2x=10
x=10:2
x=5
Vậy x=5
a) \(\left(7^{60}:7^{14}\right):7^{12}\)
\(=7^{46}:7^{12}=7^{34}\)
b) \(\left(5^{32}.5^9\right):\left(5^{48}.25\right)\)
\(=\left(5^{32}.5^9\right):\left(5^{48}.5^2\right)\)
\(=5^{41}:5^{50}=-\left(5^9\right)\)
c) \(\left(11^{154}-11^{152}\right):11^{152}\)
= \(\left(11^{152}.121-11^{152}\right):11^{152}\)
=\(\left[11^{152}.\left(121-1\right)\right]:11^{152}\)
= \(11^{152}.120:11^{152}\)
= \(120\)
\(\left(5^{19}.5^{14}\right):5^{32}=5^{19+14-32}=5^1=5\)