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\(\left(0,25\right)^3.32\\ =\left(0,5\right)^6.2^5\\ =\left(0,5.2\right)^5.0,5=\\ 0,5\)
a) \(\left(0,25\right)^3\cdot32=0,5\)
b) \(\left(0,125\right)^3\cdot80^4\)= 80000
Ta có :3|1/4 - x2| - 0,25 = |x2 - 1/4| + 3/8
=> 3|1/4 - x2| - |x2 - 1/4| = 3/8 + 0,25
<=> 3|1/4 - x2| - |1/4 - x2| = 5/8
=> 2|1/4 - x2| = 5/8
=> |1/4 - x2| = 5/16
=> \(\orbr{\begin{cases}\frac{1}{4}-x^2=\frac{5}{16}\\\frac{1}{4}-x^2=-\frac{5}{16}\end{cases}}\Rightarrow\orbr{\begin{cases}x^2=\frac{-1}{16}\left(\text{loại}\right)\\x^2=\frac{9}{16}\end{cases}}\Rightarrow x^2=\frac{9}{16}\Rightarrow x^2=\left(\frac{3}{4}\right)^2\Rightarrow x=\pm\frac{3}{4}\)
\(-1\frac{1}{3}:\left(\frac{1}{3}-\frac{1}{2}\right)^2-\left(-0,25\right)^2:\left(\frac{1}{4}-\frac{1}{2}\right)^3\)
\(=\frac{-4}{3}:\left(\frac{2}{6}-\frac{3}{6}\right)^2-\frac{1}{16}:\left(\frac{1}{4}-\frac{2}{4}\right)^2\)
\(=\frac{-4}{3}:\left(-\frac{1}{6}\right)^2-\frac{1}{16}:\left(-\frac{1}{4}\right)^2\)
\(=\frac{-4}{3}:\frac{1}{36}-\frac{1}{16}:\frac{1}{16}\)
\(=\frac{-4}{3}.36-1\)
\(=-48-1=-49\)
Chúc em học tốt nhé!
a. \(x:\left(\dfrac{2}{3}\right)^4=\dfrac{2}{3}\)
\(\Rightarrow x:\dfrac{16}{81}=\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{2}{3}.\dfrac{16}{81}\)
\(\Rightarrow x=\dfrac{32}{243}\)
Vậy....
b. \(\left(\dfrac{-5}{3}\right)^2.x=\left(\dfrac{-5}{3}\right)^3\)
\(\Rightarrow x=\left(\dfrac{-5}{3}\right)^3:\left(\dfrac{-5}{3}\right)^2\)
\(\Rightarrow x=\dfrac{-5}{3}\)
Vậy....
c. \(x^2-0,25=0\)
\(\Rightarrow x^2=0+0,25\)
\(\Rightarrow x^2=0,25=\left(\pm0,5\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}x=0,5\\x=-0,5\end{matrix}\right.\)
Vậy.........
=0,5