Q. 11

    1. \sqrt[3]{216}

216^\frac{1}{3}

(6^3)^\frac{1}{3}

6

    2. 16^\frac{3}{2} - 16^0

(4^2)^\frac{3}{2} - 1

4^3 - 1

63

  1. (\frac{3a^2b}{12ab^4})^{-2}

\Rightarrow (\frac{12ab^4}{3a^2b})^{2}

\Rightarrow (\frac{4ab^4}{a^2b})^{2}

\Rightarrow ({4a^{1-2}b^3})^{2}

\Rightarrow {16a^{-2}b^6}

\Rightarrow \frac{16b^6}{a^{2}}