Question

$( \frac{a^6b}{c})^3 . (\frac{c}{a^6})^2 . (\frac{1}{b}) ^{-2}$

Answer 1

$(\dfrac{a^6b}{c})^3 * (\dfrac{c}{a^6})^-^2 * (\dfrac{1}{b})^2 \\ \\ \\ (\dfrac{a^1^8 * b^3}{c^3}) * (\dfrac{c^2}{a^1^2}) * (\dfrac{b}{1})^2 \\ \\ \\ (\dfrac{a^1^8 * b^3}{c^3}) * (\dfrac{c^2}{a^1^2}) * (b^2) \\ \\ \\ (\dfrac{a^1^8 * b^3}{c^3}) * (\dfrac{b^2 *c^2}{a^1^2}) \\ \\ \\ \\ => (\dfrac{a^6 * b^5}{c})$