tính giá trị cua biểu thuc sau
9/2:(2.5-15/4)+(-1/2)^2
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{7}{2}\div\left(2,5-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{7}{2}\div\left(\frac{5}{2}-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{7}{2}\div\left(\frac{10}{4}-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{7}{2}\div\frac{-5}{4}+\frac{1}{4}\)
\(=\frac{-14}{5}+\frac{1}{4}\)
\(=-\frac{56}{20}+\frac{5}{20}\)
\(=-\frac{51}{20}\)
~Study well~
#Zu
a) ĐKXĐ:
\(\left\{{}\begin{matrix}x^2-9\ne0\\x+3\ne0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ne\pm3\\x\ne-3\end{matrix}\right.\Leftrightarrow x\ne\pm3\)
b) \(A=\dfrac{x+15}{x^2-9}-\dfrac{2}{x+3}\)
\(A=\dfrac{x+15}{\left(x+3\right)\left(x-3\right)}-\dfrac{2\left(x-3\right)}{\left(x+3\right)\left(x-3\right)}\)
\(A=\dfrac{x+15-2x+6}{\left(x+3\right)\left(x-3\right)}\)
\(A=\dfrac{21-x}{\left(x+3\right)\left(x-3\right)}\)
c) Thay x = - 1 vào A ta có:
\(A=\dfrac{21-\left(-1\right)}{\left(-1+3\right)\left(-1-3\right)}=\dfrac{21+1}{2\cdot-4}=\dfrac{22}{-8}=-\dfrac{11}{4}\)
a) 32 . 53 + 92 = 9 . 125 + 81
= 1 125 + 81 = 1 206
b) 83 : 42 - 52 = 512 : 16 - 25 = 32 - 25 = 7
c) 33 . 92 - 52.9 + 18 : 6 = 27 . 81 - 25 . 9 + 3
= 2 187 - 225 + 3 = 1 962 + 3 = 1 965
\(=\dfrac{2^{19}\cdot3^9-3\cdot3^8\cdot2^{18}\cdot5}{2^{19}\cdot3^9+2^{20}\cdot3^{10}}=\dfrac{-3^{10}\cdot2^{18}}{2^{19}\cdot3^9\cdot7}=-\dfrac{3}{14}\)
a, Để A nhận giá trị dương thì \(A>0\)hay \(x-1>0\Leftrightarrow x>1\)
b, \(B=2\sqrt{2^2.5}-3\sqrt{3^2.5}+4\sqrt{4^2.5}\)
\(=4\sqrt{5}-9\sqrt{5}+16\sqrt{5}=\left(4-9+16\right)\sqrt{5}=11\sqrt{5}\)
( theo công thức \(A\sqrt{B}=\sqrt{A^2B}\))
c, Với \(a\ge0;a\ne1\)
\(C=\left(\frac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right)\left(\frac{1-\sqrt{a}}{1-a}\right)^2\)
\(=\left(\frac{\left(1-\sqrt{a}\right)\left(1+\sqrt{a}+a\right)}{1-\sqrt{a}}+\sqrt{a}\right)\left(\frac{1-\sqrt{a}}{\left(1-\sqrt{a}\right)\left(1+\sqrt{a}\right)}\right)^2\)
\(=\left(\sqrt{a}+1\right)^2.\frac{1}{\left(\sqrt{a}+1\right)^2}=1\)
a)[545-(45+4.25:50-2000:250+215:213
Đề bài sai
c) 5.{26-[3.(5+2.5)+15]:15}>
= 5.(26-(3.( 3.5 )+15):15)
= 5.(26-(3. 15 +15): 15)
= 5.(26-(3. 2. (15: 15)))
= 5.(26-(3. 2. 1 ))
= 5.(26- 6 )
= 5. 20
= 100 (máy tính của mik nó bị lỗi dấu ngoăc nhọn và ngoac vuông,mong bạn thông cảm)
a)[545-(45+4.25:50-2000:250+2\(^{15}\):2\(^{13}\) )
= [545- ( 45 + 100 : 50 - 2000 + \(2^2\))
= [545- ( 45 + 2 - 2000 + 4 )
= [ 545 - ( 47 - 2000 + 4 )
= [ 545 - ( -1935 + 4 )
= 545 - - 1949
= 2994
c) 5.{26-[3.(5+2.5)+15]:15}
5 . { 26 - [ 3 . ( 5 + 10 ) + 15 ] : 15 }
= 5 . { 26 - [ 3 . 15 + 15 ] : 15 }
= 5 . { 26 - [ 45 + 15 ] : 15 }
= 5 . { 26 - 60 : 15 }
= 5 . { -34 : 15 ]
= 5 . \(\frac{-34}{15}\)
= \(\frac{-34}{3}\)
\(\frac{9}{2}:\left(2.5-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}:\left(10-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}:\left(\frac{40}{4}-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}:\frac{25}{4}+\frac{1}{4}\)
\(=\frac{9}{2}.\frac{4}{25}+\frac{1}{4}\)
\(=\frac{18}{25}+\frac{1}{4}\)
\(=\frac{97}{100}\)
\(\frac{9}{2}\div\left(2\times5-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}\div\left(10-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}\div\left(\frac{40-15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}\div\frac{25}{4}+\frac{1}{4}\)
\(=\frac{9}{2}\times\frac{4}{25}+\frac{1}{4}\)
\(=\frac{18}{25}+\frac{1}{4}\)
\(=\frac{72+25}{100}=\frac{97}{100}\)