Tính giá trị các biểu thức sau:
a. \(\dfrac{2^6.5^5}{10^5}\)
b. \(\dfrac{3^6.5^7}{15^6}\)
Tính giá trị các biểu thức sau:
a) \(\dfrac{2}{3}\)+\(\dfrac{1}{3}\).(\(\dfrac{-4}{9}\)+\(\dfrac{5}{6}\)):\(\dfrac{7}{12}\)
\(=\dfrac{2}{3}+\dfrac{1}{3}.\left(\dfrac{7}{18}\right):\dfrac{7}{12}\)
\(=\dfrac{2}{3}+\dfrac{7}{54}:\dfrac{7}{12}\)
\(=\dfrac{2}{3}+\dfrac{2}{9}\)
\(=\dfrac{8}{9}\)
Tìm giá trị lớn nhất (GTNN) của các biểu thức sau:
A= \(\dfrac{4+5\left|1-2x\right|}{7}\)
B= \(\dfrac{x^2+4x-6}{3}\)
C= \(\dfrac{5}{x^2-2x+3}\)
Tính giá trị biểu thức:
a) \(\dfrac{1}{3}-\dfrac{2}{15}+\dfrac{14}{15}\)
b) \(\dfrac{3}{5}+4-\dfrac{6}{7}\)
`1/3-2/15+14/15`
`=5/15-2/15+14/15`
`=17/15`
`3/5+4-6/7`
`=21/35+140/35-30/35`
`=131/35`
`1/3- 2/15 + 14/15`
`= 5/15 -2/15 + 14/15`
`=(5-2+14)/15`
`= 17/15`
`--`
`3/5 + 4 -6/7`
`= 3/5 + 20/5 - 6/7`
`= 23/5 - 6/7`
`= 131/35`
1.Tính giá trị các biểu thức sau:
a) B=\(\dfrac{5}{2-\sqrt{3}}+\dfrac{5}{2+\sqrt{3}}\)
Dùm xin trả lời ạ xin cảm ơn
\(B=10+5\sqrt{3}+10-5\sqrt{3}=20\)
Tính giá trị của biểu thức sau:
A=\(\dfrac{2}{3}\) x\(^2\)y\(^3\)-\(\dfrac{5}{3}\) x\(^2\)y\(^3\)+\(\dfrac{7}{2}\) x\(^{ }\)\(^2\)y\(^3\)+5 tại x=-1,y=-1
Thay x=-1, y=-1 vào A ta có:
\(A=\dfrac{2}{3}x^2y^3-\dfrac{5}{3}x^2y^3+\dfrac{7}{2}x^2y^3+5\\
=\dfrac{5}{2}x^2y^3+5\\
=\dfrac{5}{2}.\left(-1\right)^2.\left(-1\right)^3+5\\
=\dfrac{5}{2}.1.\left(-1\right)+5\\
=\dfrac{-5}{2}+5\\
=\dfrac{5}{2}\)
Bài 3: Tính hợp lí các giá trị biểu thức sau:
A=\(49\dfrac{8}{23}-\left(5\dfrac{7}{32}+14\dfrac{8}{23}\right)\)
B=\(71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{57}\right)\)
a: \(A=49+\dfrac{8}{23}-14-\dfrac{8}{23}-5-\dfrac{7}{32}=30-\dfrac{7}{32}=\dfrac{953}{32}\)
b:
Sửa đề: \(B=71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{51}\right)\)
\(B=71+\dfrac{38}{45}-43-\dfrac{8}{45}+1+\dfrac{17}{51}\)
\(=71-43+1+1\)
=28+2=30
Câu 1: Tính giá trị biểu thức:
a.A=\(\left(\dfrac{136}{15}-\dfrac{28}{5}+\dfrac{62}{10}\right)\).\(\dfrac{21}{24}\)
b.B=\(\dfrac{5}{6}\)+6\(\dfrac{5}{6}\)\(\left(11\dfrac{5}{20}-9\dfrac{1}{4}\right)\):8\(\dfrac{1}{3}\)
c.C=1+3+6+10+15+...+1225.
2.Tính giá trị biểu thức
a) ( 42 - \(\dfrac{5}{6}\) x \(\dfrac{36}{5}\)) : \(\dfrac{1}{2}\) + \(\dfrac{7}{6}\) b) \(\dfrac{18}{5}\) - \(\dfrac{1}{7}\) x 2 + \(\dfrac{1}{3}\)
a) ( 42- 6) : 1/2 + 7/6
= 36 : 1/2 + 7/6
= 72 + 7/6
= 439/6
b) 18/5 - 2/7 + 1/3
= 383/105
a) = ( 42 - 6) : 1/2 + 7/6
= 36 : 1/2 + 7/6
= 72 + 7/6
= 439/6
b) = 18/5 - 2/7 + 1/3
= 116/35 + 1/3
= 383/105
\(a.=\left(42-6\right):\dfrac{1}{2}+\dfrac{7}{6}\)
\(=36:\dfrac{1}{2}+\dfrac{7}{6}\)
\(=\)\(72+\dfrac{7}{6}\)
\(=\dfrac{439}{6}\)
TÍNH GIÁ TRỊ CÁC BIỂU THỨC:
a) \(A=\frac{25^3.5^5}{6.5^{10}}\)
b) \(B=\frac{2^5.6^3}{8^2.9^2}\)
C) \(C=\frac{15^3+5.15^2-5^3}{18^3+6.18^2-6^3}\)
\(A=\frac{25^3.5^5}{6.5^{10}}=\frac{\left(5^2\right)^3.5^5}{6.5^{10}}=\frac{5^6.5^5}{6.5^{10}}=\frac{5^{11}}{6.5^{10}}=\frac{5}{6}\)
\(B=\frac{2^5.6^3}{8^2.9^2}=\frac{2^5.2^3.3^3}{\left(2^3\right)^2.\left(3^2\right)^2}=\frac{2^8.3^3}{2^6.3^4}=\frac{4}{3}\)
\(A=\frac{25^3.5^3}{6.5^{10}}=\frac{5^6.5^3}{6.5^{10}}=\frac{5^9}{6.5.5^9}=\frac{1}{30}\)
\(B=\frac{2^5.6^3}{8^2.9^2}=\frac{2^5.2^3.3^3}{2^6.3^4}=\frac{2^8.3^3}{2^6.3^4}=\frac{2^2}{3}=\frac{4}{3}\)
\(C=\frac{15^3+5.15^2-5^3}{18^3+6.18^2-6^3}=\frac{5^3\left(3^3+3^2-1\right)}{6^3\left(3^3+3^2-1\right)}=\frac{5^3}{6^3}\)