4 nhân 2 mũ 3 chia ( 2 mũ 3 nhân 1/16 ) giúp mình với
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a) \(2^3\cdot4^5=2^3\cdot2^{10}=2^{13}\)
b) \(3^4\cdot27^2=3^4\cdot3^6=3^{10}\)
c) \(16^{10}:8^2=2^{40}:2^6=2^{34}\)
d) \(12^3:3^3=\left(12:3\right)^3=4^3\)
e) \(3^4\cdot2^4=\left(3\cdot2\right)^4=6^4\)
g) \(9^{13}\cdot5^{26}=9^{13}\cdot25^{13}=\left(9\cdot25\right)^{13}=225^{13}\)
=))

2.4^x - 1 = 128
=> 4^x - 1 = 64
=> x - 1 = 3
=> x = 4
b, 17.4^2 + 83.16
= 17.16 + 83.16
= 16(17 + 83)
= 16.100
= 1600
c, a^5 . 10^10.a^15
= a^20.10^10
d, 3{65 - [5(4 + 2.3) - 15] : 7}
= 3{65 - [5(4 + 6) - 15] : 7}
= 3{65 - [5.10 - 15] : 7}
= 3{65 - [50 - 15] : 7}
= 3{65 - 35 : 7}
= 3{65 - 5}
= 3.60
= 180

Ta có: \(2^4.38-2^4.37\)
\(=2^4.\left(37+1\right)-2^4.37\)
\(=2^4.37+2^4-2^4.37\)
\(=2^4=16\)

Mình làm một phần rồi còn lại tự làm nha ^^
\(2^7\cdot4^2\cdot16=2^7\cdot\left(2^2\right)^2\cdot2^4=2^7\cdot2^4\cdot2^4=2^{7+4+4}=2^{15}\)
@_@
học tốt ^^

`a, 3/4 - 5/4 :(x-1) =1/2`
`=> 5/4:(x-1)= 3/4 -1/2`
`=> 5/4:(x-1)= 3/4 - 2/4`
`=> 5/4:(x-1)= 1/4`
`=> x-1= 5/4 : 1/4`
`=> x-1=5`
`=>x=5+1`
`=>x=6`
__
`(1/2-x)^2 -2^2 =12`
`=> (1/2-x)^2 = 12+4`
`=> (1/2-x)^2= 16`
`=> (1/2-x)^2 =4^2`
\(\Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}-x=4\\\dfrac{1}{2}-x=-4\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{7}{2}\\x=\dfrac{9}{2}\end{matrix}\right.\)
__
`(1/2)^(2x-1) =1/16`
`=> (1/2)^(2x-1) = (1/2)^4`
`=> 2x-1=4`
`=> 2x=4+1`
`=>2x=5`
`=>x=5/2`
\(a,\dfrac{3}{4}-\dfrac{5}{4}:\left(x-1\right)=\dfrac{1}{2}\)
\(\dfrac{5}{4}:\left(x-1\right)=\dfrac{3}{4}-\dfrac{1}{2}\)
\(\dfrac{5}{4}:\left(x-1\right)=\dfrac{1}{4}\)
\(x-1=\dfrac{5}{4}:\dfrac{1}{4}\)
\(x-1=5\)
\(x=6\)
\(\left(\dfrac{1}{2}-x\right)^2-2^2=12\)
\(\left(\dfrac{1}{2}-x\right)^2-4=12\)
\(\left(\dfrac{1}{2}-x\right)^2=16\)
\(\left(\dfrac{1}{2}-x\right)^2=4^2hoặc\left(\dfrac{1}{2}-x\right)^2=\left(-4\right)^2\)
\(\dfrac{1}{2}-x=4hoặc\dfrac{1}{2}-x=-4\)
=>1/2 -x =4 1/2 -x= -4
=> x=1/2-4 x=1/2-(-4)
=>x=-7/2 x=9/2
vậy x∈{-7/2 ; 9/2}
\(\left(\dfrac{1}{2}\right)^{2x-1}=\dfrac{1}{16}\)
\(=>\left(\dfrac{1}{2}\right)^{2x-1}=\left(\dfrac{1}{2}\right)^4\)
\(=>2x-1=4\)
\(=>2x=5\)
\(=>x=\dfrac{5}{2}\)

a) \(\frac{7^3.5^8}{49.25^4}=\frac{7^3.5^8}{7^2.\left(5^2\right)^4}=7.\frac{5^8}{5^8}=7\)
b) \(\frac{3^9.25.5^3}{15.625.3^8}=\frac{3.3^8.5^2.5^3}{3.5.5^4.3^8}=\frac{5^5}{5^5}=1\)
c) Đề hơi sai roi bạn oi
d) \(\left(\frac{2}{5}-\frac{1}{2}\right)^2+\left(\frac{1}{2}+\frac{3}{5}\right)^2=\left(\frac{-1}{10}\right)^2+\left(\frac{11}{10}\right)^2=\frac{1}{100}+\frac{121}{100}=\frac{61}{50}\)

b>
2 mũ 56 nhân 125 mũ 7 = 3,435973837* 10 mủ 31
c>
625 mũ 5 nhân 25 mũ7 = 5,920766091* 10 mủ 23
d>
12 mũ 3 nhân 3 mũ 3 =10077606
e>
24 mũ 4 chia 3 mũ 4 - 32 mũ 12 nhân 16 mũ 12 = -2,882303762 * 10 mủ 17
g>
( 5 mũ 3 + 5 mũ 4 +125 mũ 2) chia 5 mũ 3= 131

\(\frac{\left(-16\right)^3x15^2}{12^3x10^4}\) =\(\frac{-4}{75}\)\(x\)là nhân nha

4.2\(^3\): (2\(^3\).\(\frac{1}{16}\))
= 4.8 : (8.\(\frac{1}{16}\))
= 32:\(\frac12\)
= 32 x \(\frac21\)
= 64
4x2^3:(2^3x1/16)
=2^2x2^3:(8x1/16)
=2^5:(1/2)
=32x2
=64