Thay a = 6 ; b = 18 vào biểu thức \(a^2\left(a^2+b^2\right)\left(a^4+b^4\right)\left(a^6+b^6\right)\left(a^2-2.b\right)\)ta được :
\(6^2\left(6^2+18^2\right)\left(6^4+18^4\right)\left(6^6+18^6\right)\left(6^2-2.18\right)\)
\(=6^2\left(6^2+18^2\right)\left(6^4+18^4\right)\left(6^6+18^6\right)\left(36-36\right)\)
\(=0\)
Tìm a,b,c biết
a, \(\left(2a+1\right)^2+\left(b+3\right)^4+\left(5c-6\right)^2< =0\)
b,\(\left(a-7\right)^2+\left(3b+2\right)^2+\left(4c-5\right)^6< =0\)
c,\(\left(12a-9\right)^2+\left(8b+1\right)^4+\left(c+19\right)^6< =0\)
d,\(\left(7b-3\right)^4+\left(21a-6\right)^4+\left(18c+5\right)^6< =0\)
Tính:
a/\(A=\left(-0,75-\dfrac{1}{4}\right):\left(-5\right)+\dfrac{1}{48}-\left(\dfrac{-1}{6}\right):\left(-3\right)\)
b/\(B=\left(\dfrac{6}{25}-1,24\right):\dfrac{3}{7}:\left[\left(3\dfrac{1}{2}-3\dfrac{2}{3}\right):\dfrac{1}{14}\right]\)
Bài 1:Tìm a,b,c
a)\(\left(12a-9\right)^2+\left(8b+1\right)^4+\left(c+15\right)^6\le0\)
b)\(\left(7b-3\right)^4+\left(21a-6\right)^4+\left(18c+15\right)^6\le0\)
Thục hiện phép tính
a) A = \(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
b) B = \(81.\left(\frac{12-\frac{12}{7}-\frac{12}{289}-\frac{12}{85}}{4-\frac{4}{7}-\frac{4}{289}-\frac{4}{85}}:\frac{5+\frac{5}{13}+\frac{5}{169}+\frac{5}{91}}{6+\frac{6}{13}+\frac{6}{169}+\frac{6}{91}}\right).\frac{158158158}{711711711}\)
Tìm a,b,c: \(\left(2a+1\right)^2+\left(b+3\right)^4+\left(5c-6\right)^2\le0\)
HELP ME!
Giúp mik với
Tính giá trị của các biểu thức:
a. \(\frac{3^{17}.81^{11}}{27^{10}.9^{15}}\)
b. \(\frac{9^2.2^{11}}{16^2.6^3}\)
c. \(\frac{2^{10}.3^{31}+2^{40}.3^6}{2^{11}.3^{31}+2^{41}.3^6}\)
d. \(a\left(-b\right)\left(-a\right)^2\left(-b\right)^3\left(-a\right)^3\left(-b\right)^4\)
e. \([-\left(-a\right)^3]\left(-a^2\right)^3.[\left(-b\right)^2]^3.[-\left(-b\right)^4]\)
Bài 2: Cho đa thức: \(A\left(x\right)=2x^2+3x+6\)
\(B\left(x\right)=2x^2+2x+3\)
a) Tính: \(P\left(x\right)=A\left(x\right)-B\left(x\right)\)
b) Tính: \(P\left(x\right)\) tại \(x=-3\) ; \(x=2\)
2. Tìm x biết:
a)\(\dfrac{2}{\left(x+2\right)\left(x+4\right)}\) + \(\dfrac{4}{\left(x+4\right)\left(x+8\right)}\) + \(\dfrac{6}{\left(x+8\right)\left(x+14\right)}\) = \(\dfrac{x}{\left(x+2\right)\left(x+14\right)}\).
b)\(\dfrac{x}{2023}\) + \(\dfrac{x+1}{2022}\) + \(\dfrac{x+2}{2021}\) +...+ \(\dfrac{x+2022}{1}\) + 2023 = 0.
Gíup mình giải 2 bài này với!
Cảm ơn các bạn rất nhiều!!!
Rút gọn biểu thức
a)\(\frac{\left(\frac{2}{3}\right)^3.\left(-\frac{3}{4}\right)^2.\left(-1\right)^5}{\left(\frac{2}{5}\right)^2.\left(-\frac{5}{12}\right)^2}\)
b)\(6^6+6^3.3^3+3^6\)/-73
