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a) \(47-\left[\left(45\cdot2^4-5^2\cdot12\right):14\right]\)
\(=47-\left[\left(45\cdot16-25\cdot12\right):14\right]\)
\(=47-\left[\left(720-300\right):14\right]\)
\(=47-\left[420:14\right]\)
\(=47-30=17\)
b) \(50-\left[\left(20-2^3\right):2+34\right]\)
\(=50-\left[\left(20-8\right):2+34\right]\)
\(=50-\left[12:2+34\right]\)
\(=50-\left[6+34\right]\)
\(=50-40=10\)
c) \(10^2-\left[60:\left(5^6:5^4-3\cdot5\right)\right]\)
\(=100-\left[60:\left(5^{6-4}-15\right)\right]\)
\(=100-\left[60:\left(5^2-15\right)\right]\)
\(=100-\left[60:\left(25-15\right)\right]\)
\(=100-\left[60:10\right]\)
\(=100-6=94\)
d) \(50-\left[\left(50-2^3\cdot5\right):2+3\right]\)
\(=50-\left[\left(50-8\cdot5\right):2+3\right]\)
\(=50-\left[\left(50-40\right):2+3\right]\)
\(=50-\left[10:2+3\right]\)
\(=50-\left[5+3\right]\)
\(=50-8=42\)
e) \(10-\left[\left(8^2-48\right)\cdot5+\left(2^3\cdot10+8\right)\right]:28\)
\(=10-\left[\left(64-48\right)\cdot5+\left(8\cdot10+8\right)\right]:28\)
\(=10-\left[16\cdot5+\left(80+8\right)\right]:28\)
\(=10-\left[80+88\right]:28\)
\(=10-168:28\)
\(=10-6=4\)
f) \(8697-\left[3^7:3^5+2\left(13-3\right)\right]\)
\(=8697-\left[3^{7-5}+2\cdot10\right]\)
\(=8697-\left[3^2+20\right]\)
\(=8697-\left[9+20\right]\)
\(=8697-29=8668\)
CHÚC BẠN HỌC TỐT!!!!!!!!!!!

a) 25.76+24.35 + \(5^3.2^3\)=x
25.76+24.35+ 125. 8=x
1900+ 840+1000=x
2740+840+1000=x
3580+1000=x
4580=x. Vậy x= 4580
b) 4x-166=\(3^3:3^2\)
4x-166=3
4x= 166+3
4x= 169
x= 169: 4
x= 42,25
c) x-4.\(5^2+3^2:2^4\)= 0
x- 4.25+ 9: 16=0
x- 100+0,5625=0
x - 100,5625=0
x=0+100,5625
x= 100,5625
d) 4x - 158 = \(2^3.3^2\)-50
4x-158= 8.9-50
4x-158= 72-50
4x-158= 22
4x= 158+22
4x=180
x= 180:4
x= 45

a)\(\left(4\frac{5}{37}-3\frac45+8\frac{15}{29}\right)-\left(3\frac{5}{57}-6\frac{14}{29}\right)\)
=\(4\frac{5}{37}-3\frac45+8\frac{15}{29}-3\frac{5}{37}+6\frac{14}{29}\)
=\(\left(4\frac{5}{37}-3\frac{5}{37}\right)+\left(8\frac{15}{29}+6\frac{14}{29}\right)-3\frac45\)
=\(\left\lbrack\left(4-3\right)+\left(\frac{5}{37}-\frac{5}{37}\right)\right\rbrack+\left\lbrack\left(8+6\right)+\left(\frac{15}{29}\right.\right.\)+\(\frac{14}{29})\) -\(\frac{19}{5}\)
=\(1+0+14+1-\frac{19}{5}\)
=\(15+1-\frac{19}{5}\)
=\(16-\frac{19}{5}\)
=\(\frac{80}{5}-\frac{19}{5}\)
=\(\frac{61}{5}\)

a) = (3.23)3.3-(2.3)4.25
= 33.(23)3.3-24.34.25
= 34.29-29.34
=0

2: \(=234+29-80+52^3=140791\)
3: \(=45\cdot\left(3250-225\right)=45\cdot3025=136125\)
4: \(=\left[\left(192-3\right):3\right]^2=63^2=3969\)

\(6x+1\dfrac{1}{3}=5\dfrac{1}{2}x+2\dfrac{2}{3}\\ < =>6x-5\dfrac{1}{2}x=2\dfrac{2}{3}-1\dfrac{1}{3}\\ < =>\dfrac{1}{2}x=1\dfrac{1}{3}\\ < =>\dfrac{1}{2}x=\dfrac{4}{3}\\ =>x=\dfrac{4}{3}:\dfrac{1}{2}=\dfrac{4}{3}.2=\dfrac{8}{3}\)
Lời giải:
$(50-6x).18=2^3.3^2.5=8.9.5=360$
$50-6x=360:18=20$
$6x=50-20=30$
$x=30:6=5$