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