3)
\(\left(\frac{1}{2}\right)^{x+1}=\frac{1}{16}\)
⇒ \(\left(\frac{1}{2}\right)^{x+1}=\left(\frac{1}{2}\right)^4\)
⇒ \(x+1=4\)
⇒ \(x=4-1\)
⇒ \(x=3\)
Vậy \(x=3.\)
Chúc bạn học tốt!
Bài 1: Thu gọn
a) \(\frac{1}{5}x^4y^3-3x^4y^3\)
b) \(5x^2y^5-\frac{1}{4}x^2y^5\)
c) \(\frac{1}{7}x^2y^3.\left(-\frac{14}{3}xy^2\right)-\frac{1}{2}xy.\left(x^2y^{\text{4}}\right)\)
d) \(\left(3xy\right)^2.\left(-\frac{1}{2}x^3y^2\right)\)
e) \(-\frac{1}{4}xy^2+\frac{2}{5}x^2y+\frac{1}{2}xy^2-x^2y\)
f) \(\frac{1}{2}x^4y.\left(-\frac{2}{3}x^3y^2\right)-\frac{1}{3}x^7y^3\)
g) \(\frac{1}{2}x^2y.\left(-10x^3yz^2\right).\frac{1}{4}x^5y^3z\)
h) \(4.\left(-\frac{1}{2}x\right)^2-\frac{3}{2}x.\left(-x\right)+\frac{1}{3}x^2\)
i) \(1\frac{2}{3}x^3y.\left(\frac{-1}{2}xy^2\right)^2-\frac{5}{4}.\frac{8}{15}x^3y.\left(-\frac{1}{2}xy^2\right)^2\)
k) \(-\frac{3}{2}xy^2.\left(\frac{3}{4}x^2y\right)^2-\frac{3}{5}xy.\left(-\frac{1}{3}x^4y^3\right)+\left(-x^2y\right)^2.\left(xy\right)^2\)
n) \(-2\frac{1}{5}xy.\left(-5x\right)^2+\frac{3}{4}y.\frac{2}{3}\left(-x^3\right)-\frac{1}{9}.\left(-x\right)^3.\frac{1}{3}y\)
m) \(\left(-\frac{1}{3}xy^2\right)^2.\left(3x^2y\right)^3.\left(-\frac{5}{2}xy^2z^3\right)^{^2}\)
p) \(-2y.\left|2\right|x^4y^5.\left|-\frac{3}{4}\right|x^3y^2z\)
Tìm \(x,\) biết:
a) \(4\left|3x-1\right|+\left|x\right|-2\left|x-5\right|+7\left|x-3\right|=12\)
b) \(3\left|x+4\right|-\left|2x+1\right|-5\left|x+3\right|+\left|x+9\right|=5\)
c) \( \left|2\frac{1}{5}-x\right|+\left|x-\frac{1}{5}\right|+8\frac{1}{5}=1,2\)
d) \(2\left|x+3\frac{1}{2}\right|+\left|x\right|-3\frac{1}{2}=\left|2\frac{1}{5}-x\right|\)
Bài 1:Tính
a)\(0,\left(3\right)+3\frac{1}{3}+0,\left(31\right)\)
b)\(\frac{4}{9}+1,2\left(31\right)-0,\left(13\right)\)
Bài 2:Tìm x biết
\(0,\left(37\right)\times x=1\)
1.thực hiện phép tính
a.\(25.\left(\frac{-1}{5}\right)^3+\frac{1}{5}-2.\left(\frac{-1}{2}\right)^2-\frac{1}{2}\)
b.\(35^1_6:\left(\frac{-4}{5}\right)-46^1_6:\left(\frac{-4}{5}\right)\)
c.\(\left(\frac{-3}{4}+\frac{2}{5}\right):\frac{3}{7}+\left(\frac{3}{5}+\frac{-1}{4}\right):\frac{3}{7}\)
d.\(\frac{7}{8}:\left(\frac{2}{9}-\frac{1}{18}\right)+\frac{7}{8}.\left(\frac{1}{36}-\frac{5}{12}\right)\)
e.\(\frac{1}{6}+\frac{5}{6}.\frac{3}{2}-\frac{3}{2}+1\)
f.\(\left(-0,75-\frac{1}{4}\right):\left(-5\right)+\frac{1}{15}-\left(\frac{-1}{5}\right):\left(-3\right)\)
cho biểu thức:A=[6\(\times\left(-\frac{1}{3}\right)^2-3\times\left(-\frac{1}{3}\right)+1\)]\(\div\left(-\frac{1}{3}-1\right)\)
B=\(\left(729-1^3\right)\times\left(729-3^3\right)\times...\times\left(729-125^3\right)\)
hãy so sánh A và B
nhanh lên mai mình phải nộp rồi
Tính
A) \(\frac{15}{34}+\frac{7}{21}+\frac{19}{34}-1\frac{15}{17}+\frac{2}{3}\)
B) \(\left(-2\right)^3\times\left(\frac{3}{4}-0,25\right):\left(2\frac{1}{4}-1\frac{1}{6}\right)\)
Tìm x
A) \(4\frac{1}{3}:\frac{\chi}{4}=6:0,3\)
B) \(\left(2^3:4\right)\times2^{\left(\chi+1\right)}=64\)
tìm x
a)\(5x\left(\frac{1}{5}x-2\right)+3\left(6-\frac{1}{3}x^2\right)=12\)
b)\(7x\left(x-2\right)-5\left(x-1\right)=7x^2+3\)
Bài 1: Thu gọn các đơn thức, xác định hệ số, phần biế, tìm bậc của các đơn thức sau:
a, \(A=\frac{2}{3}x^2y.\left(-\frac{3}{4}y\right).\left(-x^2\right)\)
b, \(C=0,12y^2.\left(-1\frac{1}{3}xy\right)^2.\left(-xy\right)^3\)
c, \(E=1,2.\left(-xy^2\right)^3.\left(-\frac{3}{5}y^2\right).\left(-0,5x^2y^3\right)^2\)
d, \(B=\frac{11}{12}\left(y^2\right)^3.\left(-\frac{1}{33}x^3\right).\left(-x\right)^2\)
e, \(D=2x^3y.\left(-\frac{1}{2}xy\right)^3.x^2y\)
f, \(F=-2\frac{1}{3}x^3z^2.\left(\frac{1}{3}xy^2z\right)^2.\left(6xyz\right)\)
Thực hiện phép tính theo cách hợp lí :
a, \([6.\left(-\frac{1}{3}\right)^2-3.\left(-\frac{1}{3}\right)+1]:\left(-\frac{1}{3}-1\right)\)
b, \(\frac{\left(\frac{2}{3}\right)^3.\left(-\frac{3}{4}\right)^2.\left(-1\right)^{2003}}{\left(\frac{2}{5}\right)^2.\left(-\frac{5}{12}\right)^3}\)
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