a. \(\left(-\dfrac{2}{3}\right)^4=\dfrac{2^4}{3^4}=\dfrac{16}{81}\)
b. \(\left(-3\dfrac{1}{3}\right)^2=\left(-\dfrac{10}{3}\right)^2=\dfrac{100}{9}\)
c. \(\left(-1\dfrac{5}{7}\right)^2=\left(-\dfrac{12}{7}\right)^2=\dfrac{144}{49}\)
d. \(\left(-1\dfrac{3}{4}\right)^3=\left(-\dfrac{7}{4}\right)^3=-\dfrac{343}{64}\)
e. \(\left(-0,4\right)^2=0,16\)
\(a,\left(-\dfrac{2}{3}\right)^4=\dfrac{\left(-2\right)^4}{3^4}=\dfrac{16}{81}\)
\(b,\left(-3\dfrac{1}{3}\right)^2=\left(-\dfrac{10}{3}\right)^2=\dfrac{\left(-10\right)^2}{3^2}=\dfrac{100}{9}\)
\(c,\left(-1\dfrac{5}{7}\right)^2=\left(-\dfrac{12}{7}\right)^2=\dfrac{\left(-12\right)^2}{7^2}=\dfrac{144}{49}\)
\(d,\left(-1\dfrac{3}{4}\right)^3=\left(-\dfrac{7}{4}\right)^3=\dfrac{\left(-7\right)^3}{4^3}=-\dfrac{343}{64}\)
\(e,\left(-0,4\right)^2=\left(-\dfrac{2}{5}\right)^2=\dfrac{4}{25}\)