Question

finds the value of (3power4)power 4*9 power 6 by (27)power 7*3 power9

Answer 1

$\frac{(3^{4})^{4} * 9^{6}}{(27^{7}) * 3^{9}} \\= \frac{3^{16} * 3^{12}}{(3^{21}) * 3^{9}} [(x^{m})^{n} = x^{mn}]\\= {3^{16-21} * 3^{12-9} [x^{m}/x^{n} = x^{m-n} ] \\\\= {3^{-5+3} [x^{m}* x^{n} = x^{m+n} ]\\= 3^{-2}$

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