Question

помогите пожалуйста по алгебре,9 класс.​

Answer 1

Ответ:

$7)0,6;\\8)490;\\9)54;\\10)64;\\11)0,02;\\12)2700$

Объяснение:

$\displaystyle 7)\frac{m^{15}(n^6)^3}{(mn)^{17}} =\frac{m^{15}n^{18}}{m^{17}*n^{17}} =\frac{n}{m^2} =\frac{15}{5^2} =\frac{15}{25} =0,6;\\8)\frac{x^{14}(y^3)^5}{(xy)^{13}} =\frac{x^{14}y^{15}}{x^{13}y^{13}} =xy^2=10*7^2=10*49=490;\\9)\frac{a^{16}(b^7)^3}{(ab)^{18}}=\frac{a^{16}b^{21}}{a^{18}b^{18}} =\frac{b^3}{a^2} =\frac{6^3}{2^2} =\frac{216}{4} =54;\\10)\frac{(p^3)^9q^{24}}{(pq)^{23}} =\frac{p^{27}q^{24}}{p^{23}q^{23}} =p^4q=2^4*4=4^2*4=4^3=64;$$\displaystyle 11)\frac{(c^5)^4d^{16}}{(cd)^{19}} =\frac{c^{20}d^{16}}{c^{19}d^{19}} =\frac{c}{d^3} =\frac{20}{10^3} =\frac{20}{1000} =\frac{2}{100} =0,02;\\12)\frac{(z^4)^7t^{29}}{(zt)^{26}} =\frac{z^{28}t^{29}}{z^{26}t^{26}} =z^2t^3=10^2*3^3=100*27=2700$

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справочные материалы:

$\bf!~~(l^\psi)^\alpha=l^{\psi\alpha};\\\bf !~~\xi ^z *\xi^i=\xi^{z+i};\\\bf !~~ \psi^q:\psi^u=\psi^{q-u}$