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\(4^{19}=2^{2.19}=2^{38}\)
\(8^7=2^{3.7}=2^{21}\)
\(256^4=2^{8.4}=2^{32}\)
\(32^3=2^{5.3}=2^{15}\)
\(\Rightarrow E=\frac{2^{38}+2^{21}}{2^{32}+2^{15}}=\frac{2^{21}.\left(2^{17}+1\right)}{2^{15}.\left(2^{17}+1\right)}=\frac{2^{21}}{2^{15}}=2^6=64\)
Đặt A=7/2+7/4+...+7/256
=>2A=7+7/2+...+7/128
=>A=7-7/256=7*255/256=1785/256
a/ \(\left(-19\right)+5+\left(-8\right)+19+\left(-3\right).\left(-2\right)^3\)
\(\left(-19\right)+5+\left(-8\right)+19+\left(-3\right).\left(-8\right)\)
\(\left(-19\right)+5+\left(-8\right)+19+24\)
\(\left(-14\right)+11+24\)
\(\left(-3\right)+24=21\)
b/ \(\left(-5\right)^3-\left(3^3+4\right).\left(-2\right)+\left(3-27\right):4\)
\(\left(-125\right)-\left(27+4\right).\left(-2\right)+\left(3-27\right):4\)
\(\left(-125\right)-\left(31\right).\left(-2\right)+\left(-24\right):\text{4}\)
\(\left(-125\right)-\left(-62\right)+\left(-6\right)\)
\(\left(-63\right)+\left(-6\right)=-69\)
c/ \(\left[504-\left(5^2.8+70\right):3^2+6\right]:\left(-20\right)\)
\(\left[504-\left(25.8+70\right):9+6\right]:\left(-20\right)\)
\(\left[504-270:9+6\right]:\left(-20\right)\)
\(\left[504-30+6\right]:\left(-20\right)\)
\(480:\left(-20\right)=-24\)
d/ \(\left(-7\right)-\left[\left(-19\right)+21\right].\left(-3\right)-\left[32+\left(-7\right)\right]\)
\(\left(-7\right)-2.\left(-3\right)-25\)
\(\left(-7\right)-\left(-6\right)-25\)
\(\left(-1\right)-25=-26\)
\(\)
Bài 1: Thực hiện các phép tính sau:
\(a)\)Chưa rỏ đề
\(b)\)\(5025\div5-25\div5\)
\(=\)\(1005-5\)
\(=\)\(1000\)
\(c)\)\(218-180\div2\div9\)
\(=\)\(218-10\)
\(=\)\(208\)
\(d)\)\(\left(328-8\right)\div32\)
\(=\)\(320\div32\)
\(=\)\(10\)
Bài 1:
a) ( Tôi không nhìn rõ đầu bài )
b) 5025 : 5 - 25 : 5
= ( 5025 - 25 ) : 5
= 5000 : 5
= 1000
c) 218 - 180 : 2 : 9
= 218 - 180 : ( 2 . 9 )
= 218 - 180 : 18
= 218 - 10
= 208
d) ( 328 - 8 ) : 32
= 320 : 32
= 10
a) Ta có: \(14-\left(5-8\right)^3+\left(-3\right)\cdot5\)
\(=14+27-15=26\)
b) Ta có: \(-7\cdot15+7\cdot\left(-35\right)+\left(-1\right)^{2019}\)
\(=-7\left(15+35\right)-1=-350-1=-351\)
c) Ta có: \(-18\cdot32+\left(-18\right)\cdot45+77\cdot\left(-32\right)-77\cdot50\)
\(=-18\left(32+45\right)+77\left(-32-50\right)\)
\(=-18\cdot77+77\cdot\left(-82\right)=77\left(-18-82\right)=77\cdot\left(-100\right)=-7700\)
d) Ta có: \(104-4\cdot\left[-5\cdot8+\left(7-10\right)^3\right]\)
\(=104-4\left[-40-27\right]=104-4\cdot\left(-67\right)=104+268=372\)
\(8^2.32^4=2^{2.3}.2^{5.4}=2^6.2^{20}=2^{26}\)
\(64^3.256^2=2^{6.3}.2^{8.2}=2^{18}.2^{16}=2^{34}\)
số số hạng là :
( 1000000 - 1 ) : 1 + 1 = 1000000
tổng là :
( 1000000 + 1 ) x 1000000 : 2 = 500000500000
đáp số : 500000500000
\(D=4^{19}+8^7\div256^4+32^3=\left(2^2\right)^{19}+\left(2^3\right)^7\div\left(2^8\right)^4+\left(2^5\right)^3=2^{38}+2^{21}\div2^{32}+2^{15}=2^{15}\times\left(2^{23}+1\right)+2^{-11}\)
\(D=2^{38}+2^{21}:2^{32}+2^{15}=2^{38}+2^{^{-11}}+2^{15}\)