Question

Вычислите:
4^6*2^9
_______
32^4


324^8
_______
2^15*9^16

Answer 1

1) $frac{4 ^{6}* 2 ^{9} }{32 ^{4} } = frac{(2 ^{2}) ^{6}* 2 ^{9} }{(2 ^{5} ) ^{4} } = frac{2 ^{12}* 2 ^{9} }{2 ^{20} } = frac{2 ^{21} }{2 ^{20} } =2$
2) $frac{324 ^{8} }{2 ^{15}* 9 ^{16} } = frac{(2 ^{2}* 3 ^{4}) ^{8} }{y} = frac{2 ^{16}* 3 ^{32} }{2 ^{15}* 3 ^{32} } = 2$