Answer
The properties $(ab)^{n} = a^{n}\cdot b^{n}$ and $(\frac{a}{b})^{n} = \frac{a^n}{b^n}$ are like distributive properties of powers over multiplication and division.
The statement above makes sense because in simplifying products and quotients raised to a power, we basically just distribute the power to each of the term in the expression.
Work Step by Step
The properties $(ab)^{n} = a^{n}\cdot b^{n}$ and $(\frac{a}{b})^{n} = \frac{a^n}{b^n}$ are like distributive properties of powers over multiplication and division.
The statement above makes sense because in simplifying products and quotients raised to a power, we basically just distribute the power to each of the term in the expression.
