Question

Write the reciprocals of the following:
.(2/3)raised to 2
.(-3/5)raised to 3
.7 raised to -3
.(8/9)raised to -2

Answer 1

$\frak{Remember\:-}\:\textup{\textbf{For finding Reciprocal just exchange numerator with denominator}}\\\\\frac{2}{3}^2=\frac{4}{9}\\\textup{reciprocal}=\frac{9}{4}\\\\\frac{-3}{5}^3=\frac{-27}{125}\\\textup{reciprocal}=\frac{27}{125}\\\\7^{-3}=\frac{1}{7^3}\\\textup{reciprocal}=7^3=343\\\\\frac{8}{9}^{-2}=\frac{9}{8}^2=\frac{81}{64}\\\textup{reciprocal}=\frac{64}{81}$