В) Вычислите: (−1/4)³ · 64; (−1/5)³ · 125; (−1/2)⁴ · 16; (−1/3)⁴ · 81; (−1/2)² · 8; (−1/6)³ · 216; (−1/2)⁵ · 32; (−1/3)² · 27.

Question

Вопрос:

Accepted Answer

\(\left(-\frac{1}{4}\right)^3\cdot64=-\frac{1}{64}\cdot64=-1\).
\(\left(-\frac{1}{5}\right)^3\cdot125=-\frac{1}{125}\cdot125=-1\).
\(\left(-\frac{1}{2}\right)^4\cdot16=\frac{1}{16}\cdot16=1\).
\(\left(-\frac{1}{3}\right)^4\cdot81=\frac{1}{81}\cdot81=1\).
\(\left(-\frac{1}{2}\right)^2\cdot8=\frac{1}{4}\cdot8=2\).
\(\left(-\frac{1}{6}\right)^3\cdot216=-\frac{1}{216}\cdot216=-1\).
\(\left(-\frac{1}{2}\right)^5\cdot32=-\frac{1}{32}\cdot32=-1\).
\(\left(-\frac{1}{3}\right)^2\cdot27=\frac{1}{9}\cdot27=3\).

Ответ: −1; −1; 1; 1; 2; −1; −1; 3.