Tính:
{[(6,2 : 0,31 - \(\frac{5}{6}\). 0,9). 0,2 + 0,15]: 0,2} : [(2 + \(1\frac{4}{11}\). 0,22 : 0,1) . \(\frac{1}{33}\)]
a)A=\(\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\) b)B=\(\frac{45}{19}-\left(\frac{1}{2}\left(\frac{1}{3}+\left(\frac{1}{4}\right)^{-1}\right)^-\right)^{-1}\) c)C=\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}\)
d)D=\(\frac{2^{21}.3^5-4^6.81}{\left(2^2.3\right)^6+8^4.3^5}\) e) E=\(\left(6^9.2^{10}+12^{10}\right):\left(2^{19}.27^3+15.4^9.9^4\right)\)
f) F=\(\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.24^3+45^6}\) g)G=\(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\) h)H=\(x+\frac{0,2-0,375+\frac{5}{11}}{-0,3+\frac{9}{16}-\frac{15}{22}}\)với x=-1/3
Bài 1: Tìm x biết: a, |2x+5|-|x+3|=0
Bài 2: Rút gọn:
a,\(\frac{3^6+45^4-15^3.4^5}{27^4.25^3+45^6}\)
b,\(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{16}{3}\right)^3:\left(\frac{4}{9}\right)^3}{2^7.5^2+512}\)
Thực hiện phép tính:
a) A=\(\left(-\frac{3}{4}+\frac{2}{3}\right):\frac{5}{11}\) b)B=\(\left(-\frac{2}{3}+1\right)-\left(\frac{7}{5}-0,2\right)+\left(\frac{7}{15}-1+\frac{4}{3}\right)\)
c) C=\(\frac{^{^{2^4.2^6}}}{\left(2^5\right)^2}-\frac{2^5.15^3}{6^3.10^2}\)
1) Tinh :a) \(\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}-\frac{50}{7}.\frac{\sqrt{0,49}}{25}\)
b) Tim x , biet: \(|2x-\frac{1}{5}|\left(-\frac{1}{5}\right)^5=\left(-\frac{1}{5}\right)^7\)
a) A=\(\left(\frac{-5}{11}\right).\frac{7}{15}.\left(\frac{11}{-5}\right).\left(-30\right)\)
b) B=\(\left(-\frac{1}{6}\right).\left(\frac{-15}{19}\right).\left(\frac{38}{45}\right)\)
c) C= \(\left(\frac{-5}{9}\right).\frac{3}{11}+\left(\frac{-13}{18}\right).\frac{3}{11}\)
d) D= \(\left(2\frac{2}{15}.\frac{9}{17}.\frac{3}{32}\right):\left(\frac{-3}{27}\right)\)
Bài tập nâng cao
Bài 1: Tính
a)\(\left\{\left[\left(6,2:0,31-\frac{5}{6}.0,9\right).0,2+0,15\right]:0,2\right\}\left[\left(2+1\frac{4}{11}.0,22:0,1\right).\frac{1}{33}\right]\)
b)\(0,4\left(3\right)+0,6\left(2\right).2\frac{1}{2}.\left[\left(\frac{1}{2}+\frac{1}{3}\right):0.5\left(8\right)\right]:\frac{50}{53}\)
c)\(\frac{0,375-0,3+\frac{3}{11}+\frac{3}{12}}{0,625-0,5+\frac{5}{11}+\frac{5}{12}}\)
Bài 2: Tìm 2 số a,b biết
a)\(\frac{a}{5}=\frac{b}{4};a^2-b^2=1\)
b)\(\frac{a}{2}=\frac{b}{3}=\frac{c}{4};a^2-b^2+2c^2=108\)
Bài 3: Cho a/b=c/d chứng minh rằng
a)\(\frac{ab}{cd}=\frac{a^2+b^2}{c^2+d^2}\) b)\(\frac{ac}{bd}=\frac{a^2+c^2}{b^2+d^2}\) c)\(\frac{7a^2+3ab}{11a^2-8b^2}=\frac{7c^2+3cd}{11c^2-8d^2}\)
Bài 4: Tìm giá trị nhỏ nhất
a) A=3./1-2x/-5 b)\(B=\left(2x^2+1\right)^4-3\) c) C= /x-1/2/+(y+2)^2+11
Bài 5: Tìm giá trị lớn nhất trong các biểu thức sau
a) C=-/2-3x/+1/2 b) D= -3-/2x+4/
Bài 6: Cho bốn số a,b,c,d thảo mãn điểu kiện b^2=ac; c^2=bd. Chứng minh
a^3+b^3+c^3=a/d
b^3+c^3+d^3
1)Tính
a.\(\frac{3^6\cdot45^4-15^{13}\cdot5^{-9}}{27^4\cdot25^3+45^6}\)
b.\(\frac{\left(\frac{2}{5}\right)^7\cdot5^7+\left(\frac{9}{4}\right)^3\div\left(\frac{3}{16}\right)^3}{2^7\cdot5^2+512}\)
tính
\(\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
câu b (\(\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3\) phần \(^{2^7.5^2+512}\)
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