Вправи 301 - 400 » 350

350. Запишіть як степінь: 1) (a–8)n : (an)–1 = a–8n : a–n = a–8n–(–n) = a–8n+n = a–7n; 2) (am)–n • (an)p = a–mn • anp = a–mn+np 3) (a–15 : a4)–3 • (a10 : a3)–2 = (a–19)–3 • (a7)–2 = a57 • a–14 = a43; 4) (a–15 a4)3 : (a10 a–3)–2 = (a–11)3 : (a7)–2 = a–33 : a–14 = a–19; 5) (a–15 a–4)3 : (a10 a3)–2 = (a–19)3 : (a13)–2 = a–57 : a–26 = a–31; 6) (a15 a–4)3 • (a–10 a3)2 = (a11)3 • (a–7)2 = a33 • a–14 = a19; 7) (a–2+n)–n • an(1–n) : (–a)–2n = a^(〖2n-n〗^2 ) • a^(n〖-n〗^2 ) : a^(-2n)/〖(-1)〗^2n = a^(〖2n-n〗^2 ) • a^(〖n-n〗^2 ) : a–2n = a^(〖2n-n〗^2+〖n-n〗^2+2n) = a^(〖-2n〗^2+5n). 8) (a–n)n • a–(2+n)(2–n) : a–4 = a^(〖-n〗^2 ) • a^(〖-(4-n〗^2)) : a–4 = a^(〖-n〗^2 ) • a^(n^2-4) : a–4 = a^(n^2+n^2-4+4) = a^(〖2n〗^2 ).