Упр.280 ГДЗ Муравин 7 класс (Алгебра)

1) x^2; 3) ab; 5) p^(n-2); 7) c^(2m-1);
2) 3^8; 4) y^n; 6) z^(m-n); 8) 1.

1. $$x^2=\frac{x^4}{x^2}=\frac{x^{98}}{x^{96}}=\frac{x^{n+2}}{x^n}$$
2. $$3^8=\frac{3^{10}}{3^2}=\frac{3^{28}}{3^{20}}=\frac{3^{x+8}}{3^x}$$
3. $$ab=\frac{a^3b^4}{a^2b^3}=\frac{a^7b^9}{a^6b^8}=\frac{a^{n+1}b^{m+1}}{a^nb^m}$$
4. $$y^n=\frac{y^{2n}}{y^n}=\frac{y^{n+5}}{y^5}=\frac{y^{n+m}}{y^m}$$
5. $$p^{n-2}=\frac{p^{n+4}}{p^6}=\frac{p^{n-1}}{p}=\frac{p^n}{p^2}$$
6. $$z^{m-n}=\frac{z^m}{z^n}=\frac{z^{2m-2n}}{z^{m-n}}=\frac{z^{3m-5n}}{z^{2m-4n}}$$
7. $$c^{2m-1}=\frac{c^{2m}}{c}=\frac{c^{3m-1}}{c^m}=\frac{c^{5m-1}}{c^{3m}}$$
8. $$1=\frac{a^2b}{a^2b}=\frac{xy}{xy}=\frac{c^3d^4}{c^3d^4}=\frac{a}{b}$$

Ответ

$$x^2=\frac{x^4}{x^2}=\frac{x^{98}}{x^{96}}=\frac{x^{n+2}}{x^n};$$
$$3^8=\frac{3^{10}}{3^2}=\frac{3^{28}}{3^{20}}=\frac{3^{x+8}}{3^x};$$
$$ab=\frac{a^3b^4}{a^2b^3}=\frac{a^7b^9}{a^6b^8}=\frac{a^{n+1}b^{m+1}}{a^nb^m};$$
$$y^n=\frac{y^{2n}}{y^n}=\frac{y^{n+5}}{y^5}=\frac{y^{n+m}}{y^m};$$
$$p^{n-2}=\frac{p^{n+4}}{p^6}=\frac{p^{n-1}}{p}=\frac{p^n}{p^2};$$
$$z^{m-n}=\frac{z^m}{z^n}=\frac{z^{2m-2n}}{z^{m-n}}=\frac{z^{3m-5n}}{z^{2m-4n}};$$
$$c^{2m-1}=\frac{c^{2m}}{c}=\frac{c^{3m-1}}{c^m}=\frac{c^{5m-1}}{c^{3m}};$$
$$1=\frac{a^2b}{a^2b}=\frac{xy}{xy}=\frac{c^3d^4}{c^3d^4}=\frac{a}{b}.$$