Question

ПОМОГИТЕ ПОЖАЙЛУСТА
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Answer 1

5.1

$\frac{5^{13}*125^{2} }{25^{9}} = \frac{5^{13}*(5^{3}) ^{2} }{(5^{2})^{9}}=\frac{5^{13}*5^{6} }{5^{18}}=\frac{5^{19} }{5^{18}}=5^{19-18}=5^{1}=5$

5.2

$(\frac{2}{3})^{6}*(1\frac{1}{2})^{8} = (\frac{2}{3})^{6}*(\frac{3}{2})^{8}=(\frac{2}{3})^{6}*(\frac{3}{2})^{6}*(\frac{3}{2})^{2}=(\frac{2}{3}*\frac{3}{2})^{6}*(\frac{3}{2})^{2}=1^{6}*\frac{9}{4}=\frac{9}{4}$

6

$128x^{2}y^{3} *(-\frac{1}{4}xy^{5})^{3}=128x^{2}y^{3} *(-\frac{1}{64}x^{3}y^{15})=-\frac{128}{64} x^{2+3}y^{3+15}=-2x^{5}y^{18}$