Question

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Answer 1

$\frac{256*4^{7}}{8^{6}}= \\ \frac{2^{8}*2^{14}}{2^{18}} = \\ 2^{8+14-18} = \\ 2^{4}$

$\frac{3^{9}*9^{-2}}{27^{7}*81^{-5}}= \\ \frac{3^{9}*3^{-4}}{3^{21}*3^{-20}}= \\ \frac{3^{5}}{3^{1}} = \\ 3^{5-1}= \\ 3^{4}$

$\frac{3^{-6}*27^{6}}{243^{3}}= \\ \frac{3^{-6}*3^{18}}{3^{5}} = \\ \frac{3^{12}}{3^{5}}= \\ \\ 3^{12-5} = \\ 3^{7}$