1.31. Өрнектердің мәнін табыңдар. 1) 5⁸ : 5⁶; 2) 0,2⁷ : 0,2⁵; 3) 1,99¹³ : 1,99¹²; 4) (1 2/3)⁴ : (1 2/3)²; 5) (−3/7)⁵ : (−3/7)⁴; 6) (2 3/5)⁶ : (2 3/5)⁴.

Бірдей негізді дәрежелерді бөлу ережесін қолданамыз: \(a^m:a^n=a^{m-n}\).

1. \(5^8:5^6=5^{8-6}=5^2=25\).
2. \(0,2^7:0,2^5=0,2^{7-5}=0,2^2=0,04\).
3. \(1,99^{13}:1,99^{12}=1,99^{13-12}=1,99\).
4. \(\left(1\frac{2}{3}\right)^4:\left(1\frac{2}{3}\right)^2=\left(1\frac{2}{3}\right)^2=\left(\frac{5}{3}\right)^2=\frac{25}{9}\).
5. \(\left(-\frac{3}{7}\right)^5:\left(-\frac{3}{7}\right)^4=\left(-\frac{3}{7}\right)^1=-\frac{3}{7}\).
6. \(\left(2\frac{3}{5}\right)^6:\left(2\frac{3}{5}\right)^4=\left(2\frac{3}{5}\right)^2=\left(\frac{13}{5}\right)^2=\frac{169}{25}\).

Жауабы: 1) 25; 2) 0,04; 3) 1,99; 4) 25/9; 5) −3/7; 6) 169/25.