Question

1. \\(\frac{(-2a^{6}b^{2})^{5}}{-2b^{6}}\\)

Explanation:

Step1: Expand the numerator

$$(-2a^6b^2)^5 = (-2)^5 \cdot (a^6)^5 \cdot (b^2)^5 = -32a^{30}b^{10}$$

Step2: Rewrite the full expression

$$\frac{-32a^{30}b^{10}}{-2b^6}$$

Step3: Simplify coefficients and variables

$$\frac{-32}{-2} \cdot a^{30} \cdot \frac{b^{10}}{b^6} = 16a^{30}b^{4}$$

Answer:

$16a^{30}b^4$