write the expression as a single power. \n$(9^{2})^{5}=?$ \noptions: \n$9^{8}$ \n$9^{7}$ \n$9^{10}$ \n$9^{25}$

Explanation:

Step1: Recall the power of a power rule

The power of a power rule states that ((a^{m})^{n}=a^{m\times n}). Here, (a = 9), (m = 2), and (n = 5).

Step2: Apply the rule to the given expression

For the expression ((9^{2})^{5}), we multiply the exponents: (2\times5 = 10). So, ((9^{2})^{5}=9^{2\times5}=9^{10}).

Answer:

(9^{10})