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(5^46+5^45+5^44):(5^39.5^5)
=(5^46+5^45+5^44):5^44
=5^46:5^44+5^45:5^44+5^44:5^44
=5^2+5+1
=31
(5^46+5^45+5^44):(5^39.5^5)
=(5^46+5^45+5^44):5^44
=5^46:5^44+5^45:5^44+5^44:5^44
=5^2+5+1
=31
\(\left(5^{1995}-5^{1993}\right):\left(5.5^{1992}\right)=\left(5^{1995}-5^{1993}\right):5^{1993}=\left(5^{1995}-5^{1993}\right)\times\frac{1}{5^{1993}}\)
\(=\left(5^{1995}\times\frac{1}{5^{1993}}\right)-\left(5^{1993}\times\frac{1}{5^{1993}}\right)=\frac{5^{1995}}{5^{1993}}-\frac{5^{1993}}{5^{1993}}=5^2-1=25-1=24\)
\(\left(5^{46}+5^{45}+5^{44}\right):\left(5^{39}.5^5\right)=5^{44}.\left(1+5+5^2\right):5^{44}=1+5+5^2=31\)
\(\left(12^{59}+12^{58}+12^{57}\right):\left(12^{56}+12^{57}+12^{58}\right)\)
=\(12^{57}.\left(12^2+12+1\right):\left[12^{56}.\left(1+12+12^2\right)\right]\)
=12
**** mình nha bạn !!!!!!!!!
_ (1+51)+(6+46)+(11+41)+(16+36)+(21+31)+26
= 52+52+52+52+52+26= 52 x 5+26= 286
_ 5 . ( 5 / 1.6+ 5/ 6.11+ 5/ 11.16+.... + 5/ 26.31)
=5. ( 1/1- 1/6+1/6 -1/11+ 1/11-1/16 +....+1/26-1/31)
= 5. ( 1/1 - 1/31)
= 5. 30/31= 150/31
câu a thì nguyễn thị kim phụng giải đúng rồi còn câu b mình nghĩ cậu ấy làm sai mình sẽ làm lại
b)=5.(5/1.6+5/6.11+5/11.16+5/16.21+5/21.26+5/26.31
=5.(5/1-5/6+5/6-5/11+5/11-5/16+5/16-5/21+5/21-5/26+5/26-5/31)
=5.(5-5/31)
=5.150/31
=750/31
\(\frac{5^{56}+5^7}{5^{49}+1}=\frac{5^7\left(5^{49}+1\right)}{5^{49}+1}=5^7\)
\(\frac{5^{56}+5^7}{5^{49}+1}=\frac{5^5+5^7}{1}=5^5+5^7=3125+78125=81250\)
\(\Leftrightarrow\frac{5^{46}+5^{45}+5^{44}}{5^{39}\cdot5^5}=\frac{5^{44}\left[5^2+5+1\right]}{5^{44}}=5^2+5+1=31\)