\(\frac{48x700-24x45x20}{45-40+35-30+25-20+15-10}\)

\(=\frac{24x2x700-24x45x20}{5+5+5+5}\)

\(=\frac{24x1400-24x900}{20}\)

\(=\frac{24x\left(1400-900\right)}{20}\)

\(=\frac{24x500}{20}\)

\(=\frac{12000}{20}\)

\(=600\)

k nha

 

\(\frac{27x45+27x55}{2+4+6+...+16+18}\)

\(=\frac{27x\left(45+55\right)}{2+4+6+...+16+18}\)

\(=\frac{27x100}{2+4+6+...+16+18}\)

\(=\frac{2700}{\left(2+18\right)x9:2}\)

\(=\frac{2700}{90}\)

\(=30\)

k nha

 

\(\frac{26x108-26x12}{32-28+24-20+16-12+8-4}\)

\(=\frac{26x\left(108-12\right)}{4+4+4+4}\)

\(=\frac{26x96}{16}\)

\(=\frac{2496}{16}\)

\(=156\)

k nha

a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)

b) \(5^{12}\cdot7-5^{11}\cdot10\)

\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)

\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)

d) \(27^{16}:9^{10}\)

\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)

e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)

f) \(24^4:3^4-32^{12}:16^{12}\)

\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)

\(=6^4-2^{12}\)

\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)

a)27*47+13*24+24*10*3

=27*47+13*24+24*30

=27*47+24*(13+30)

=27*47+24*43

=2301

b)

55-50+45-40+35-30+25-20+15-10+5

=(55-50)+(45-40)+(35-30)+(25-20)+(15-10)+5

=5+5+5+5+5+5

=30

a) x - (17 - 8) = 5 + (10 - 3x)

x - 17 + 8 = 5 + 10 - 3x

x + 3x = 5 + 10 + 17 - 8

4x = 24

x = 24 : 4

x = 6

b) 25 - (30 + x) = x - (27 - 8)

25 - 30 - x = x - 27 + 8

-x - x = -27 + 8 - 25 + 30

-2x = -14

x = (-14) : (-2)

x = 7

c) (x - 12) - 15 = (20 - 7) - (18 + x)

x - 12 - 15 = 20 - 7 -18 - x

x + x = 20 - 7 - 18 + 12 + 15

2x = 22

x = 22 : 2

x = 11

d) 9 - 25 = (7 - x) - (25 + 7)

9 - 25 = 7 - x - 25 - 7

x = 7 - 25 - 7 - 9 +25

x = -9

a) 15 . (27 + 18 + 6 ) + 15 . ( 23 +12 ) =  15. 51 + 15 . 35 = 765 + 525 = 1290

b) 14 . 35 . 5 + 10 . 25 . 7 + 20 . 70 = 2450 + 1750 + 1400 = 2452450

c) 53 . ( 51 + 4 ) + 53 . ( 49  + 96 ) + 53 = 53 . 55 + 53 . 145 + 53 = 2915 . 7685 = 22401775

d) 46 . ( 27 +75 ) +8 . ( 58 + 25 ) + 8 . ( 58 + 25 ) . 2 = 46 . 102 + 8 . 83 + 8 . 83 =  4692 + 664 + 664 = 6020