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Ta có: \(4\cdot52+81:3^2-\left(13-4\right)^2\)
\(=208+81:9-9^2\)
\(=208+9-81\)
\(=217-81=136\)
\(\text{13.58.4+32.26.2+52.10}\)
\(\text{=(13.4).58 + (26.2)32 + 52.10}\)
\(\text{=52.58+52.32+52.10}\)
\(\text{=52(58+32+10)}\)
\(\text{=52.100}\)
\(\text{= 5200}\)
\(A=3\left(1+3+3^2\right)+...+3^{28}\left(1+3+3^2\right)\)
\(=13\left(3+...+3^{28}\right)⋮13\)
13 x 58 x 4 + 32 x 26 x 2 + 52 x 10
= 13 x 4 x 58 + 32 x 52 + 52 x 10
= 52 x 58 + 32 x 52 + 52 x 10
= 52 x ( 58 + 32 + 10 )
= 52 x 100
= 5200
a ) 6 18 = − 9 15 b ) − 15 35
c ) 5. ( − 4 ) 2. ( − 4 ) = 20 8 d ) 3. ( − 4 ) 2. ( − 4 ) = 12 8
a: \(12+2^2+3^2+4^2+5^2\)
\(=12+4+9+16+25\)
\(=16+50=66\)
\(\left(1+2+3+4+5\right)^2=15^2=225\)
=>\(12+2^2+3^2+4^2+5^2< \left(1+2+3+4+5\right)^2\)
b: \(1^3+2^3+3^3+4^3=\left(1+2+3+4\right)^2< \left(1+2+3+4\right)^3\)
c: \(5^{202}=5^2\cdot5^{200}=25\cdot5^{200}>16\cdot5^{200}\)
d: \(18\cdot4^{500}=18\cdot2^{1000}\)
\(2^{1004}=2^4\cdot2^{1000}=16\cdot2^{1000}\)
=>\(18\cdot4^{500}>2^{1004}\)
e: \(2022\cdot2023^{2024}+2023^{2024}=2023^{2024}\left(2022+1\right)\)
\(=2023^{2025}\)
3x-1 - 2 = 32 + [52 - 3(22 - 1)]
3x-1-2=9+[25-3(4-1)]
3x-1-2=9+(25-3.3)
3x-1-2=9+(25-9)
3x-1-2=9+16
3x-1-2=25
3x-1=25+2
3x-1=27
3x-1=33
=>x-1=3
x=3+1
x=4
2x-1 + 3 = 52
2x-1+3=25
2x-1=25-3
2x-1=22
13 . 52 - 32 . ( 1 + 2 + 32 )
= 13 . 25 - 9 . ( 1 + 2 + 9 )
= 13 . 25 - 9 . 12
= 325 - 108
= 217
13 . 52 - 32 . ( 1 + 2 + 32 )
= 13 . 25 - 9 . ( 3 + 9 )
= 325 - 9 . 12
= 325 - 108
= 217