Вправи: 387

387. Спростіть вираз:

1) (m + n)³ • (m + n)^–3 = (m + n)⁰ = 1;

2) (5 + a)^–8 • (5 + a)⁵ = (5 + a)^–3;

3) (p+ m)-1(p+ m)2 = (p + m)^–1 • (p + m)^–2 = (p + m)^–3;

4) (mn)^–1 • (mn)^–5 = (mn)^–6 = m^–6n⁶;

5) (a + b) • (a+ b)2(a- b)3 • (a – b)^–2 = (a + b) • (a + b)² • (a – b)^–2 • (a – b)^–2 = (a + b)³ • (a – b)^–5 = (a+ b)3(a- b)5;

6) x-3(y+1)0 • (x+2)0x-1 = x-3•11• x-1 = x^–3 • x = x^–2;

7) (y+5)-4y10 • y-15(y+5)-8 = (y+5)-4•(y+5)8y10• y15 = (y+5)4y25;

8) (n+4m)-1p4 • p3(n+4m)0 : (n+4m)-10p = (n+4m)-1p4 • p31 • p(n+4m)-10 = p4•(n+4m)10 p4•(n+4m)1 = (n + 4m)⁹.