a) x : \(\left(-\frac{1}{3}\right)^3=-\frac{1}{3}\)
\(x:\frac{-1}{27}=\frac{-1}{3}\)
\(x=\frac{-1}{3}.\frac{-1}{27}\)
\(x=\frac{1}{81}\)
Vậy \(x=\frac{1}{81}\)
a) \(x:\left(-\frac{1}{3}\right)^3=-\frac{1}{3}\)
\(\Leftrightarrow x=\left(-\frac{1}{3}\right)\cdot\left(-\frac{1}{3}\right)^3\)
\(\Leftrightarrow x=\left(-\frac{1}{3}\right)^4\)
\(\Leftrightarrow x=\frac{1}{81}\)
b)\(\left(\frac{4}{5}\right)^5\cdot x=\left(\frac{4}{5}\right)^7\)
\(\Leftrightarrow x=\left(\frac{4}{5}\right)^7:\left(\frac{4}{5}\right)^5=\left(\frac{4}{5}\right)^2=\frac{16}{25}\)
c)\(\left(x+\frac{1}{2}\right)^2=\frac{1}{16}\)
\(\Leftrightarrow x+\frac{1}{2}=\frac{1}{4}\)
\(\Leftrightarrow x=-\frac{1}{4}\)
d)\(\left(3x+1\right)^3=-27\)
\(\Leftrightarrow3x+1=-3\)
\(\Leftrightarrow3x=-4\)
\(\Leftrightarrow x=-\frac{4}{3}\)
a ) \(x:\left(-\frac{1}{3}\right)^3=-\frac{1}{3}\)
\(x=-\frac{1}{3}.\left(-\frac{1}{3}\right)^3\)
\(x=\left(-\frac{1}{3}\right)^{3+1}\)
\(x=\left(-\frac{1}{3}\right)^4\)
\(x=\frac{1}{81}\)
b ) \(\left(\frac{4}{5}\right)^5.x=\left(\frac{4}{5}\right)^7\)
\(x=\left(\frac{4}{5}\right)^7:\left(\frac{4}{5}\right)^5\)
\(x=\left(\frac{4}{5}\right)^{7-5}\)
\(x=\left(\frac{4}{5}\right)^2\)
\(x=\frac{16}{25}\)
c ) \(\left(x+\frac{1}{2}\right)^2=\frac{1}{16}\)
\(\left(x+\frac{1}{2}\right)=\sqrt{\frac{1}{16}}\)
\(\left(x+\frac{1}{2}\right)=\frac{1}{4}\)
\(x=-\frac{1}{4}\)
d ) \(\left(3x+1\right)^3=-27\)
\(\left(3x+1\right)=-\sqrt[3]{27}\)
\(\left(3x+1\right)=-3\)
\(3x=-2\)
\(x=-\frac{2}{3}\)
b) \(\left(\frac{4}{5}\right)^5.x=\left(\frac{4}{5}\right)^7\)
\(x=\left(\frac{4}{5}\right)^7:\left(\frac{4}{5}\right)^5\)
\(x=\left(\frac{4}{5}\right)^{7-5}\)
\(x=\left(\frac{4}{5}\right)^2\)
\(x=\frac{16}{25}\)
Vậy \(x=\frac{16}{25}\)
c) \(\left(x+\frac{1}{2}\right)^2=\frac{1}{16}\)
\(\left(x+\frac{1}{2}\right)^2=\left(\frac{1}{4}\right)^2\)
\(\Rightarrow x+\frac{1}{2}=\frac{1}{4}\)
\(x=\frac{1}{4}-\frac{1}{2}\)
\(x=-\frac{1}{4}\)
Vậy \(x=-\frac{1}{4}\)
d) \(\left(3x+1\right)^3=-27\)
\(\left(3x+1\right)^3=\left(-3\right)^3\)
\(\Rightarrow3x+1=-3\)
\(3x=-3-1\)
\(3x=-4\)
\(x=-4:3\)
\(x=\frac{-4}{3}\)
Vậy \(x=-\frac{4}{3}\)