Вправи: 20.30

20.30 Спростіть вираз (m – ціле число):

1) 49m72m-2 = (72)m72m-2 = 7^{2m–(2m–2)} = 7² = 49;

2) 18m2m+2 • 32m-1 = 2m •(32)m2m+2 • 32m-1 = 2^{m–(m + 2)} • 3^{2m– (2m–1)} = 2^–2 • 3¹ = 34;

3) x9my3m-2x3my4+3m = x^{9m–3my3m – 2 – (4 + 3m)} = x^6my^–6 = x6my6.