Question

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Answer 1

а)$\frac{(x^{8})^{4}*(x^{3})^{4}}{x^{33}*(x^{5})^{2}} =27$

$\frac{x^{32}*x^{12}}{x^{33}*x^{10}}=27$

$\frac{x^{44}}{x^{43}} =27$

x=27

б)$\frac{x^{11}*x^{9}*(x^{3})^{4}}{x^{27}*x^{4}} =11$

$\frac{x^{20}*x^{12}}{x^{31}}=11$

$\frac{x^{32}}{x^{31}} =11$

x=11

в)$\frac{(y^{3})^{4}*(y^{4})^{3}}{(x^{11})^{2}} =9$

$\frac{y^{12}*y^{12}}{y^{22}} =9$

$\frac{y^{24}}{y^{22}}=9$

y²=9

y=±3

г) $\frac{(a^{3})^{6}*(a^{2})^{2}}{(a^{4})^{5}} =25$

$\frac{a^{18}*a^{4}}{a^{20}}=25$

$\frac{a^{22}}{a^{20}}=25$

a²=25

a=±5