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a) \(17-\left(-9\right)-27-19\\ =17+9-27-19\\ =\left(17-27\right)+\left(9-19\right)\\ =\left(-10\right)+\left(-10\right)=-20\)
b) \(3\cdot\left(-9\right)+9\\ =\left(-3\right)\cdot9+9\\ =9\left(-3+1\right)\\ =9\cdot\left(-2\right)=-18\)
c) \(-\left(-24\right)+\left(-37\right)-25+14\\ =24-37-25+14\\ =\left(24+14\right)-\left(37+25\right)\\ =38-62=-24\)
d) \(\left(-7\right)\cdot5-9\cdot\left(-4\right)-105\\ =\left(-7\right)\cdot5-9\cdot\left(-4\right)-21\cdot5\\ =5\left(-7-21\right)-\left(-36\right)\\ =5\cdot\left(-28\right)+36\\ =-140+36=-104\)
e) \(\left(-7\right)^2+32\div\left(-8\right)\\ =49+\left(-4\right)\\ =45\)
f) \(\left(-2\right)^2-36\div\left(-6\right)-\left|-7\right|\\ =4-\left(-6\right)-7\\ =4+6-7\\ =10-7=3\)
a) 27^16 : 9^10
Ta có: (3.9)^16 : 9^10
= 3^16.9^16: 9^10
= 3^16. 9^6
= 3^16.(3^2)^6
=3^16.3^12
=3^28
Tìm x
a.( x - 140 ) : 3 = 27
x - 140 = 27 . 3
x - 140 = 81
x = 221
b.14 - 4 ( x + 1 ) = 10
4 ( x + 1 ) = 14 - 10
4 ( x +1) = 4
x + 1 = 1
x = 0
c. 15 ( 7 - x ) = 15
7 - x = 1
x = 6
d.34 ( x - 3 ) = 0
\(\Rightarrow\) 34 = 0 hoặc x - 3 = 0
1. 34 = 0 ( vô lí )
2. x - 3 = 0 \(\Rightarrow\) x = 3
e. 24 + 6 (3 - x ) = 30
6( 3- x ) = 30 - 24
6( 3 - x ) = 6
3 - x = 1
x = 2
f. x3 + 24 = 51
x3 = 51 - 24
x3 = 27
\(\Rightarrow\)x = 3 ; x = -3
g. ( x- 5 )2 - 5 = 44
( x - 5) 2 = 49
\(\Rightarrow\)x - 5 = 7 hoặc x - 5 = -7
1. x - 5 = 7\(\Rightarrow\)x = 12
2. x - 5 = -7 \(\Rightarrow\)x = -2
h. ( x + 1 )3 - 23 = 4
( x + 1 )3 =27
\(\Rightarrow\) x + 1 = 3 hoặc x + 1 = -3
1. x + 1 = 3\(\Rightarrow\)x = 2
2. x + 1 = -3 \(\Rightarrow\)x = -4
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\(a,56-36:\left(-9\right)+3.\left(-2\right)^2\)
\(=56+4+12=72\)
\(b,36-16\left[2\left(14-15\right)^{21}\right]+14\)
\(=36-12\left[2-\left(-1\right)^{21}\right]+14\)
\(=36-16\left(2+1\right)+14\)
\(=36-48+14=2\)
\(c,2\left(-3\right)^2-3\left(-2\right)^3.\left(-2\right)^3+8\)
\(=2.9-3.8.8+8=218\)
\(d,\left(-8\right)25\left(-2\right)4\left(-5\right)125=\left(-8\right)125\left(-2\right)\left(-5\right)25.4=-1000.10.100=-1000000\)
\(56-36:\left(-9\right)+3.\left(-2\right)^2\)
\(=56+4+3.4\)
\(=60+12=72\)
\(36-16.\left|2-\left(14-15\right)^{21}\right|+14\)
\(=36-16.\left(2+1\right)+14\)
\(=36-48+14=2\)
\(2.\left(-3\right)^2-3.\left(-2\right)^3.\left(-2\right)^3+8\)
\(=2.9-3.8.8+8\)
\(=18-192+8=-166\)
\(\left(-8\right).25.\left(-2\right).4.\left(-5\right).125\)
\(=\left[\left(-8\right).125\right].\left(25.4\right).\left[\left(-5\right).\left(-2\right)\right]\)
\(=\left(-1000\right).100.\left(-10\right)=1000000\)