Question

please do answer this question​

Answer 1

Answer:

(a)$\frac{1}{2^{5}*3^{7}}$

(b)$2^6 * 3^3$

Step-by-step explanation:

(a) $\frac{2^{-6}*2^{4}*3^{5}} {3^{12}*2^{3}}$

    = $\frac{2^{-6+4-3}}{3^{12-5}}$

    = $\frac{2^{-5}}{3^{7}}$

    = $\frac{1}{2^{5}*3^{7}}$

(b) $\frac{9^{1}*6^{7}*2^{5}}{8^{2}*3^{6}}$

   = $\frac{3^{2}*2^{7}*3^{7}*2^{5}}{(2^{3})^{2}*3^{6}}$

   = $\frac{3^{2+7}*2^{7+5}}{2^{6}*3^{6}}$

   = $\frac{2^{12}*3^{9}}{2^{6}*3^{6}}$

   = $2^{12-6}*3^{9-6}$

   = $2^6 * 3^3$