a) 18 + 36 : 3²

= 18 + 36 : 9

= 18 + 4

= 22

b) 2³ . 81 + 2³ . |-19|

= 2^3 . 81 + 2^3 . 19

= 2^3 ( 81 + 19 )

= 2^3 . 100

= 8 . 100

= 800

c) 2^3 . 5 - [ 6^2 : 4 + 3 ( 2^3 - 5 )]

= 8 . 5 - [ 36 : 4 + 3 ( 8 - 5 )]

= 40 - ( 36 : 4 + 3 . 3 )

= 40 - ( 9 + 9 )

= 40 - 18

= 22

a,18+36:3²

=18+36:9

=18+4

=22

a) \(3^{7} \cdot 27^{5} \cdot 81^{3}\)

• Đổi về cơ số 3: \(27 = 3^{3} , \textrm{ }\textrm{ } 81 = 3^{4}\).

\(3^{7} \cdot \left(\right. 3^{3} \left.\right)^{5} \cdot \left(\right. 3^{4} \left.\right)^{3} = 3^{7} \cdot 3^{15} \cdot 3^{12} = 3^{7 + 15 + 12} = 3^{34} .\)

b) \(100^{6} \cdot 1000^{5} \cdot 10 \textrm{ } 000^{3}\)

• Đổi về cơ số 10: \(100 = 10^{2} , \textrm{ }\textrm{ } 1000 = 10^{3} , \textrm{ }\textrm{ } 10 \textrm{ } 000 = 10^{4}\).

\(\left(\right. 10^{2} \left.\right)^{6} \cdot \left(\right. 10^{3} \left.\right)^{5} \cdot \left(\right. 10^{4} \left.\right)^{3} = 10^{12} \cdot 10^{15} \cdot 10^{12} = 10^{39} .\)

c) \(\frac{36^{5}}{18^{5}}\)

• Do cùng số mũ:

\(\left(\left(\right. \frac{36}{18} \left.\right)\right)^{5} = 2^{5} = 32.\)

d) \(24 \cdot 5^{2} + 5^{2} \cdot 5^{3}\)

\(= 24 \cdot 25 + 25 \cdot 125 = 600 + 3125 = 3725.\)

e) \(\frac{125^{4}}{5^{8}}\)

• Đổi về cơ số 5: \(125 = 5^{3}\).

\(\left(\right. 5^{3} \left.\right)^{4} : 5^{8} = 5^{12} : 5^{8} = 5^{12 - 8} = 5^{4} = 625.\)

TÓM lại là a) \(3^{34}\)
b) \(10^{39}\)
c) \(32\)
d) \(3725\)
e) \(625\)

bạn muốn chép đáp án hay sem cách làm///??

a: \(3^7\cdot27^5\cdot81^3\)

\(=3^7\cdot\left(3^3\right)^5\cdot\left(3^4\right)^3\)

\(=3^7\cdot3^{15}\cdot3^{12}=3^{7+15+12}=3^{34}\)

b: \(100^6\cdot1000^5\cdot10000^3\)

\(=\left(10^2\right)^6\cdot\left(10^3\right)^5\cdot\left(10^4\right)^3\)

\(=10^{12}\cdot10^{15}\cdot10^{12}=10^{15+12+12}=10^{39}\)

c: \(36^5:18^5=\left(\frac{36}{18}\right)^5=2^5=32\)

d: \(24\cdot5^2+5^2\cdot5^3\)

\(=5^2\left(24+5^3\right)\)

\(=25\cdot\left(24+125\right)=25\cdot149=3725\)

e: \(125^4:5^8=\left(5^3\right)^4:5^8=5^{12}:5^8=5^{12-8}=5^4\)

a: \(=36:4+2\cdot25=9+50=59\)

b: \(=79\left(82+18\right)=79\cdot100=7900\)

c: \(=49-9-\left(4^2+2^2\right)\)

\(=40-16-4=40-20=20\)

d: \(=16+\left[400:\left(200-42-138\right)\right]\)

\(=16+400:20=16+20=36\)

a) 5⁴ : 5² + 3² . 3³

= 5² + 3⁵ = 25 + 243 = 268

Học tốt!!!

a) 5⁴:5²+3².3³=5² + 3⁵=25+243 = 278

b) 3+6+9+12+...+96

=3.1+3.2+3.3+3.4+...+3.32

=3.(1+2+3+4+...+32)

=3.\(\frac{\left(32+1\right).32}{2}\)=\(3.33.16=1584\)

a) 22 + 3 . 2³ = 22 + 3 . 8 = 22 + 24 = 46

b) 41 . 67 + 33 . 41 = 41 . ( 67 + 33 ) = 41 . 100 = 4100

c) 322 . 5 - [ 622 : 4 + 2 . ( 11 - 8) ] = 322 . 5 - [ 622 : 4 + 2 . 3 ] = 322 . 5 - [ 155,5 + 6 ] = 322 . 5 - 161,5 = 1610 + 161,5 = 1448,5

\(4.\left\{3^2.\left[\left(5^2+2^3\right):11\right]-26\right\}+2009\)

\(=4.\left\{9.\left[\left(25^{ }+8\right):11\right]-26\right\}+2009\)

\(=4.\left\{9.\left[33:11\right]-26\right\}+2009\)

\(=4.\left\{9.3-26\right\}+2009\) \(=4.\left(27-26\right)+2009\)

\(=4.1+2009=2013\)

a: \(=8\cdot252-252:9+1296:52\)

=2016-28+324/13

=26168/13

b: =513+184-679+46-46

=697-679

=18

a) \(\left(-0,75+\frac{1}{2}\right):\frac{4}{3}\)

\(=\frac{-1}{4}:\frac{4}{3}\)

\(=\frac{-3}{16}\)

b) \(\frac{5}{9}.\frac{2}{7}+\frac{5}{9}.\frac{5}{7}-\frac{8}{3}\)

\(=\frac{5}{9}.\left(\frac{2}{7}+\frac{5}{7}\right)-\frac{8}{3}\)

\(=\frac{5}{9}.1-\frac{8}{3}\)

\(=\frac{-19}{9}\)

c)  \(7,5.1\frac{3}{4}-6\frac{2}{5}\)

\(=\frac{15}{2}.\frac{7}{4}-\frac{32}{5}\)

\(=\frac{269}{40}\)

[ 504 - ( 5² . 8 + 70 ) : 3³ + 6 ] : 125

= [ 504 - ( 25 . 8 + 70 ) : 27 + 6 ] : 125

= [ 504 - ( 200 + 70 ) : 27 + 6 ] : 125

= [ 504 - 270 : 27 + 6 ] : 125

= [ 504 - 10 + 6 ] : 125

= 500 : 125 

= 4

[ 504 - ( 5 ² . 8 + 70 ) : 3 ³ + 6 ] : 125

= [ 504 - 270 : 27 + 6 ] : 125

= [ 504 - 10 + 6 ] : 125

= [ 494 + 6 ] : 125

= 500 : 125

= 4