Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(a)\)
\(2^{2x-1}+6.2^8=14.2^8\)
\(\Leftrightarrow2^{2x-1}=14.2^8-6.2^8\)
\(\Leftrightarrow2^{2x-1}=8.2^8\)
\(\Leftrightarrow2^{2x-1}=2^3.2^8\)
\(\Leftrightarrow2x-1=11\)
\(\Leftrightarrow2x=11+1\)
\(\Leftrightarrow x=\frac{12}{2}\)
\(\Leftrightarrow x=6\)
\(b)\)
\(A=\left(1-\frac{1}{4}\right)\left(1-\frac{1}{9}\right)\left(1-\frac{1}{16}\right)\left(1-\frac{1}{25}\right)...\left(1-\frac{1}{196}\right)\left(1-\frac{1}{225}\right)\)
\(\Leftrightarrow A=\frac{3}{4}.\frac{8}{9}...\frac{224}{225}\)
\(\Leftrightarrow A=\frac{1.3}{2.2}.\frac{2.4}{3.3}...\frac{14.16}{15.15}\)
\(\Leftrightarrow A=\frac{1.2.3.4...14.16}{2.2.3.3...25.25}\)
\(\Leftrightarrow A=\frac{1.2.3...14}{2.3.4...15}.\frac{3.4.5...16}{2.3.4...15}\)
\(\Leftrightarrow A=\frac{1}{15}.\frac{16}{2}\)
\(\Leftrightarrow A=\frac{8}{15}\)
22x-1+6.28=14.28
22x-1=14.28-6.28
22x-1=28.(14-6)
22x-1=28.23
22x-1=211
=>2x-1=11
2x = 11+1
2x = 12
x = 12 : 2
x = 6
k cho mình nhé
22x-1 + 6 . 28 = 14.28
=> 22x-1 + 6 . 28 = 7.2.28
=> 22x-1 + 6 . 28 = 7 . 29
=> 22x-1 + 6 = 7 . 29 : 28
=> 22x-1 + 6 = 7 . 2
=> 22x-1 + 6 = 14
=> 22x-1 = 8
=> 22x-1 = 23
=> 2x - 1 = 3
=> 2x = 4
=> x = 2
1 thực hiện phép tính
a/5/3-1/4+-3/12
\(= \dfrac{5}{3}-\dfrac{1}{4}-\dfrac{3}{12}\)
= \(\dfrac{7}{6}\)
b/60%+2 1/5 -0,3.2/3
\(= \dfrac{3}{5}+\dfrac{11}{5}-\dfrac{1}{5}\)
\(= \dfrac{13}{5}\)
c/ 5/14.2/9-5/14+5/14- -11/9
\(= \dfrac{5}{63}+\dfrac{11}{9}\)
= \(\dfrac{82}{63}\)
2/ tính giá trị biểu thức
a/x+5/6 =1/8
\(<=> x=\dfrac{-17}{24}\)
= ( -25) x 1 +72 x (-25) + (-25) x27
= (- 25) x ( 1 + 72 + 27 )
= (-25) x 100
=-2500
b
c 37 x ( 25 + 37 ) - 27 x ( 37 + 25 )
= 37 x 25 + 37 x 37 -27x37 -27x25
= ( 37 x25 -27x25 )+(37x37-27+37)
=25 x ( 37 -27 ) + 37 x (37 - 27)
= 25 x10 + 37x10
= 250 + 370
= 770
a) =-25.( 1+72+27)
=-25.100= - 2500
b) = -36.45 + (-36) . 15 - (-36) . 40
= - 36. ( 45+15-40)
= -36 . 20= -720
c) =37.62 - 27 .62
= 62. ( 37 - 27 )
= 62 . 10
= 620
\(104,6\cdot x-14,2\cdot x+9,6\cdot x=25\\ x\left(104,6-14,2+9,6\right)=25\\ x\cdot100=25\\ x=\dfrac{25}{100}\\ x=0,25\)
104,6.\(x\) - 14,2.\(x\) + 9,6.\(x\) = 25
(104,6 - 14,2 + 9,6)\(x\) = 25
100\(x\) = 25
\(x\) = 25: 100
\(x\) = 0,25