5+ 5 + 5 + 5+ 5 + 5 +5+ 5 + 5 +5=5x10=50

25 + 25 + 25 + 25 + 25 + 25 +25 + 25=25x8=200

45 + 45 + 45 + 45 + 15 + 15 + 15 + 15=(45x4)+(15x4)=180+60=240

a) $125^3:25^4=(5^3)^3:(5^2)^4=5^9:5^8=5^1$

$16^4:4^2=(4^2)^4:4^2=4^8:4^2=4^6$

$27^8:9^4=(3^3)^8:(3^2)^4=3^{24}:3^8=3^{16}$

$125^5:25^3=(5^3)^5:(5^2)^3=5^{15}:5^6=5^9$

$4^{14}:5^{28}=(2^2)^{14}:5^{28}=2^{28}:5^{28}=(\dfrac{2}{5})^{28}$

b) $12^n:2^{2n}=12^n:(2^2)^n=12^n:4^n=3^n$

$64^4.16^5.4^{20}=(4^3)^4.(4^2)^5.4^{20}=4^{12}.4^{10}.4^{20}=4^{42}$

\(a,56-36:\left(-9\right)+3.\left(-2\right)^2\)

\(=56+4+12=72\)

\(b,36-16\left[2\left(14-15\right)^{21}\right]+14\)

\(=36-12\left[2-\left(-1\right)^{21}\right]+14\)

\(=36-16\left(2+1\right)+14\)

\(=36-48+14=2\)

\(c,2\left(-3\right)^2-3\left(-2\right)^3.\left(-2\right)^3+8\)

\(=2.9-3.8.8+8=218\)

\(d,\left(-8\right)25\left(-2\right)4\left(-5\right)125=\left(-8\right)125\left(-2\right)\left(-5\right)25.4=-1000.10.100=-1000000\)

\(56-36:\left(-9\right)+3.\left(-2\right)^2\)

\(=56+4+3.4\)

\(=60+12=72\)

\(36-16.\left|2-\left(14-15\right)^{21}\right|+14\)

\(=36-16.\left(2+1\right)+14\)

\(=36-48+14=2\)

\(2.\left(-3\right)^2-3.\left(-2\right)^3.\left(-2\right)^3+8\)

\(=2.9-3.8.8+8\)

\(=18-192+8=-166\)

\(\left(-8\right).25.\left(-2\right).4.\left(-5\right).125\)

\(=\left[\left(-8\right).125\right].\left(25.4\right).\left[\left(-5\right).\left(-2\right)\right]\)

\(=\left(-1000\right).100.\left(-10\right)=1000000\)

\(2\cdot\left|-5\right|\cdot\left|-3\right|-4-4\cdot(25:5)+\left|-4\right|\)

\(=2\cdot5\cdot3-4-4\cdot5+4\)

\(=30-4-4\cdot5+4=30-4-20+4=10\)

Trả lời

Ko ghi lại đề

=2.5.3-4-4.(25:5)+4

=30-4-20+4

=10

Ko ghi lại đề

=(-5)+(-5).5

=-50

Ko ghi lại đề

=+171-171-23-172-38+172-49

=-23-38-49

=-110

Ko chắc câu cuối !

1) \(125^5:25^7\)

\(=\left(5^3\right)^5:\left(5^2\right)^7\)

\(=5^{15}:5^{14}\)

= 5

2) \(27^8:9^9\)

\(=\left(3^3\right)^8:\left(3^2\right)^9\)

\(=3^{24}:3^{18}\)

\(=3^6\)

3) \(36^5:6^8\)

\(=\left(6^2\right)^5:6^8\)

\(=6^{10}:6^8\)

\(=6^2\)

4) \(49^6:7^{10}\)

\(=\left(7^2\right)^6:7^{10}\)

\(=7^{12}:7^{10}=7^2\)

5) \(7^{20}:49^9\)

\(=7^{20}:\left(7^2\right)^9\)

\(=7^{20}:7^{18}=7^2\)

6) \(\frac{1}{2^{10}}:\frac{1}{8^3}\)

\(=\frac{1}{2^{10}}:\frac{1}{\left(2^3\right)^3}\)

\(=\frac{1}{2^{10}}:\frac{1}{2^9}=\frac{1}{2^{10}}.\frac{2^9}{1}=\frac{1}{2}\)

7) \(\left(-\frac{1}{2}\right)^{21}:\frac{1}{4^{10}}\)

\(=\frac{\left(-1\right)^{21}}{2^{21}}:\frac{1}{\left(2^2\right)^{10}}\)

\(=-\frac{1}{2^{21}}:\frac{1}{2^{20}}=-\frac{1}{2^{21}}.\frac{2^{20}}{1}\)

\(=-\frac{1}{2}\)

8) \(\frac{1}{16^5}:\left(-\frac{1}{2}\right)^{18}\)

\(=\frac{1}{\left(2^4\right)^5}:\frac{\left(-1\right)^{18}}{2^{18}}\)

\(=\frac{1}{2^{20}}:\frac{1}{2^{18}}\)

\(=\frac{1}{2^{20}}.\frac{2^{18}}{1}=\frac{1}{4}\)

9) \(\frac{1}{5^{30}}:\frac{1}{25^{14}}\)

\(=\frac{1}{5^{30}}:\frac{1}{\left(5^2\right)^{14}}\)

\(=\frac{1}{5^{30}}:\frac{1}{5^{28}}=\frac{1}{25}\)

435+76

ko biết

a) 29 - [16 + 3 . (51 - 49)]

= 29 - [ 16 + 3 . 2 ]

= 29 - [ 16 + 6 ]

= 29 - 22

= 7.

b) 47 - [(45 . 16 - 25 . 12) : 14]

= 47 - [ (720 - 300 ) : 14 ]

= 47 - [ 420 : 14 ]

= 47 - 30

= 17.

c) 100 - [60 : (125 : 25 - 3 . 5)]

= 100 - [ 60 : (5 - 3.5) ]

= 100 - [ 60 : ( 5 - 15) ]

= 100 - [60 : (-10) ]

= 100 - (-6)

= 100 + 6

= 106.

d) 2345 - 1000 : [19 - 5(21 - 18)]

= 2345 - 1000 : [ 19 - 5. 3 ]

= 2345 - 1000 : [ 19 - 15 ]

= 2345 - 1000 : 4

= 2345 - 250

= 2095

# HOK TỐT #

a)29-[16 + 3 . (51 - 49)]                                                     

=29 - [ 16 + 3 . 2]

=29 - [16 + 6 ]

=29 - 22

=7

b) 47 - [(45 . 16 - 25 . 12) : 14]

= 47 - [( 45 . 16 - 25 .12) : 14]

=47 - [(720 - 300) : 14]

=47 - [420 : 14]

=47 - 30

= 17

c) 100 - [60 : (125 : 25 - 3 . 5)]

= 100 - [ 60 : ( 5 - 15 )]

=100 - [60 : (- 10)]

= 100 - (- 6)

=94

d) 2345 - 1000 : [19 - 5(21 - 18)]

=2345 - 1000 : [ 19 -5 . 3]

=2345 - 1000 : [19 - 15]

= 2345 - 1000 : 4

=2345 - 250

=2095

ta có: \(E=\frac{50^{12}.16^{14}}{8^{25}.125^8}\)

\(E=\frac{\left(2.5^2\right)^{12}.\left(2^4\right)^{14}}{\left(2^3\right)^{25}.\left(5^3\right)^8}\)

\(E=\frac{2^{68}.5^{24}}{2^{75}.5^{24}}=\frac{1}{2^7}=\frac{1}{128}\)

ta có: \(E=\frac{50^{12}.16^{14}}{8^{25}.125^8}\)

\(E=\frac{\left(2.5^2\right)^{12}.\left(2^4\right)^{14}}{\left(2^3\right)^{25}.\left(5^3\right)^8}\)

\(E=\frac{2^{68}.5^{24}}{2^{75}.5^{24}}=\frac{1}{2^7}=\frac{1}{128}\)