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\(1672+\left[49+\left(13-7\right)^3\right]\)
\(=1672+\left[49+6^3\right]\)
\(=1672+\left[49+216\right]\)
\(=1672+265\)
\(=1937\)
1672+[49+(13-7)3]
=1672+[49+63]
=1672+[49+216]
=1672+265
=1937
k mik nha
Học tốt
51 - [ 75 - ( 9 - 4 )2
= 51 - [ 75 - 52 ]
= 51 - [ 75 - 25 ]
= 51 - 50
= 1
Chúc học tốt !!!!
Cặp 1 : -7/14 ; -8/16 ; 9/-18
Cặp 2 : 2/3 ; -18/-27
Cặp 3 : 40/-32 ; -65/52
Cặp 4 : 13/9 ; -39/27
a) \(2^{x+2}-2^x=96\)\(\Leftrightarrow2^x.4-2^x=96\)
\(\Leftrightarrow2^x\left(4-1\right)=96\)\(\Leftrightarrow2^x.3=96\)\(\Leftrightarrow2^x=32=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
b) \(10^6-5^7=\left(2.5\right)^6-5^{6+1}=2^6.5^6-5^6.5=5^6\left(2^6-5\right)=5^6\left(64-5\right)=5^6.59⋮59\)
c) \(81^7-27^9-9^{13}=\left(3^4\right)^7-\left(3^3\right)^9-\left(3^2\right)^{13}=3^{28}-3^{27}-3^{26}\)
\(=3^{24}\left(3^4-3^3-3^2\right)=3^{24}\left(81-27-9\right)=3^{24}.45⋮45\)
1. Ta có: 2x + 2 - 2x = 96
=> 2x.4 - 2x = 96
=> 2x(4 - 1) = 96
=> 2x = 96 : 3
=> 2x = 32
=> 2x = 25
=> x = 5
2. Ta có: 106 - 57 = (2.5)6 - 57 = 26.56 - 56.5 = 56(64 - 5) = 56 . 59 \(⋮\)59
817 - 279 - 913 = (34)7 - (33)9 - (32)13 = 328 - 327 - 326 = 324.(34 - 33 - 32) = 224. 45 \(⋮\)45
a)\(\frac{25}{10}=\frac{50}{20};\frac{-70}{147}=\frac{-140}{294};\frac{-27}{-54}=\frac{54}{108}\)
b)\(\frac{130}{150}=\frac{260}{300};\frac{17}{-10}=\frac{-34}{20};\frac{-56}{21}=\frac{-112}{42}\)
thấy đề bài hơi lạ. Học tốt
\(B=3+3^2+3^3+...+3^{90}\)
\(=\left(3+3^2\right)+\left(3^3+3^4\right)+...+\left(3^{89}+3^{90}\right)\)
\(=3\left(1+3\right)+3^3\left(1+3\right)+...+3^{89}\left(1+3\right)\)
\(=\left(1+3\right)\left(3+3^3+...+3^{89}\right)\)
\(=4\left(3+3^3+...+3^{89}\right)⋮4\)
\(B=3+3^2+3^3+...+3^{90}\)
\(=\left(3+3^2+3^3\right)+\left(3^4+3^5+3^6\right)+...\left(3^{88}+3^{89}+3^{90}\right)\)
\(=3\left(1+3+3^2\right)+3^4\left(1+3+3^2\right)+...+3^{98}\left(1+3+3^2\right)\)
\(=\left(1+3+3^2\right)\left(3+3^4+...+3^{98}\right)\)
\(=13\left(3+3^4+...+3^{98}\right)⋮13\)
[ ( 27 - 13 ) x 4 + 12] x 3
=[ 14 x4 + 12] x 3
=[ 56 +12 ] x 3
= 68 x 3
= 204
[ ( 27 - 13 ) x 4 + 12 ] x 3
= [ 14 x 4 + 12 ] x 3
= [ 56 + 12 ] x 3
= 68 x 3
= 204
Học tốt !