\(27^2\div25^3\)
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a, 23 + (-2)3+ 8-1
= 8 + (-8)+ 1/8
= 0 +1/8
= 1/8
b, (-1)2019 + (-1)2020
= (-1) + 1
= 0
c,(-3)4 +23
= 81 + 8
= 89
d, 1252 : 25
= (25x5)2 : 25
= 252 x 52 : 25
= (252:25) x 52
= 25 x 25
= 625
=
a) \(2^3+\left(-2\right)^3+8^{-1}=2^3-2^3+\frac{1}{8}\)
\(=\frac{1}{8}\)
b) \(\left(-1\right)^{2019}+\left(-1\right)^{2020}=-1+1\)
\(=0\)
c) \(\left(-3\right)^4+2^3=81+8\)
\(=90\)
d) \(125^2\div25=\frac{\left(25.5\right)^2}{25}\)
\(=\frac{25^2.5^2}{25}\)
\(=25.25\)
\(=625\)
\(\frac{1}{8}=12,5\%\) ; \(\frac{1}{16}=6,25\%\) ; \(\frac{1}{2}=50\%\) ; \(\frac{1}{4}=25\%\)
Thay vào trên mà tính.
= \(1+\left(\frac{3\left(1x2+2x4x2\right)}{3\left(5+5x3x25\right)}+1\right)-\left(1+\frac{18}{54}\right)-1\) = \(\frac{18}{380}-\frac{18}{54}\)
\(125^4:25^3=\left(5^4\right)^4:\left(5^2\right)^3=5^{16}:5^6=5^{10}\)
\(8^4x16^5x5^{40}=2^{12}x2^{20}x5^{40}=2^{32}x5^{40}\)
18^3 : 9^3 = 5832 : 729 = 8
125^3 : 25^3 = (5^3)^3 : (5^2)^3 = 5^9 : 5^6 = 5^3 = 125
có quy luật hay lắm
\(18^3:9^3=\left(18:9\right)^3=2^3=8\)
\(125^3:25^3=\hept{\begin{cases}\left(5^3\right)^3:\left(5^2\right)^3=5^9:5^6=5^3=125\\\left(5^3\right)^3:\left(5^2\right)^3=\left(5^3:5^2\right)^3=5^3=125\end{cases}}\)chọn cách nào thì tùy bạn
\(\left(10^3+10^4+125^3\right):5^3=\left[10^3+10^3.10+\left(5^2\right)^3\right]:5^3\)
\(=\left(10^3.11+5^6\right):5^3\)
\(=10^3.11:5^3+5^6:5^3\)
\(=\left(10^3:5^3\right).11+5^3\)
\(=2^3.11+5^3\)
\(=88+125=213\)
\(\left(2^{43}+2^4\right):\left(2^{39}+1\right)=\)tương tự mà làm
x-4867=(175.2050.70):25+23
x-4867=25112500:25+23
x-4867=1004500+23
x-4867=1004523
x = 1004523+4867
x = 1009390
a: \(27^{2-x}< =9\)
=>\(\left(3^3\right)^{2-x}< =3^2\)
=>\(3^{6-3x}< =3^2\)
=>6-3x<=2
=>-3x<=-4
=>\(x>=\dfrac{4}{3}\)
b: \(7^{3-x}< 49\)
=>\(7^{3-x}< 7^2\)
=>3-x<2
=>-x<2-3=-1
=>x>1
c: \(27^{3-x}>9\)
=>\(\left(3^3\right)^{3-x}>3^2\)
=>\(3^{9-3x}>3^2\)
=>9-3x>2
=>-3x>-7
=>\(x< \dfrac{7}{3}\)
d: \(2^{3-x}< 2^3\)
=>3-x<3
=>-x<0
=>x>0
e: \(27^{3-x^2}< 27^{x+1}\)
=>\(3-x^2< x+1\)
=>\(-x^2-x+2< 0\)
=>\(x^2+x-2>0\)
=>(x+2)(x-1)>0
=>\(\left[{}\begin{matrix}x>1\\x< -2\end{matrix}\right.\)
\(27^2:25^3=\left(3^3\right)^2:\left(5^2\right)^3=3^6:5^6=\left(\frac{3}{5}\right)^6=\frac{729}{15625}\)
Theo bài ra , ta có : \(27^2:25^3=\frac{729}{15625}\)