ж) (-0,2)^3 * (-0,1)^2; 3) -6^{-1} * 36^2 * (1/6)^3; и) -(-1)^0 * (-1/3)^5.

Решение:

Разберем каждый пример по отдельности:

1. ж)
   The expression is:
   
   \[ (-0.2)^3 \cdot (-0.1)^2 \]
   
   Step 1: Calculate the cubes and squares.
   \[ (-0.2)^3 = -0.008 \]
   
   \[ (-0.1)^2 = 0.01 \]
   
   Step 2: Multiply the results.
   \[ -0.008 \cdot 0.01 = -0.00008 \]
   
   Ответ: -0.00008
2. 3)
   The expression is:
   
   \[ -6^{-1} \cdot 36^2 \cdot \left(\frac{1}{6}\right)^3 \]
   
   Step 1: Rewrite the terms with positive exponents and simplify.
   \[ -6^{-1} = -\frac{1}{6} \]
   
   \[ 36^2 = 1296 \]
   
   \[ \left(\frac{1}{6}\right)^3 = \frac{1^3}{6^3} = \frac{1}{216} \]
   
   Step 2: Substitute the simplified terms back into the expression.
   \[ -\frac{1}{6} \cdot 1296 \cdot \frac{1}{216} \]
   
   Step 3: Perform the multiplication.
   \[ -\frac{1296}{6 \cdot 216} = -\frac{1296}{1296} = -1 \]
   
   Ответ: -1
3. и)
   The expression is:
   
   \[ -(-1)^0 \cdot \left(-\frac{1}{3}\right)^5 \]
   
   Step 1: Evaluate the terms with exponents.
   
   Any non-zero number raised to the power of 0 is 1.
   \[ (-1)^0 = 1 \]
   
   \[ \left(-\frac{1}{3}\right)^5 = \frac{(-1)^5}{3^5} = \frac{-1}{243} \]
   
   Step 2: Substitute the results back into the expression.
   \[ -(1) \cdot \left(-\frac{1}{243}\right) \]
   
   Step 3: Perform the multiplication.
   \[ -1 \cdot \left(-\frac{1}{243}\right) = \frac{1}{243} \]
   
   Ответ: 1/243