which law would you use to simplify the expression $(x^{4})^{9}$?\nproduct of powers\npower of a…

Brief Explanations:

The power of a power rule states that ((a^m)^n=a^{m\times n}). In the expression ((x^{4})^{9}), we have a base (x) raised to a power (4), and then that entire expression is raised to another power (9). This fits the form of the power of a power rule. The product of powers rule is (a^m\times a^n = a^{m + n}), which is for multiplying two powers with the same base. The power of a product rule is ((ab)^n=a^n\times b^n), which is for a product inside parentheses raised to a power. The power of a quotient rule is (\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}), which is for a quotient inside parentheses raised to a power. None of these other rules match the given expression ((x^{4})^{9}).

Answer:

power of a power