question\nsimplify to a single power of 6:\n\\((6^2)^5\\)\nanswer attempt 2 out of 2\nanswer…

question\nsimplify to a single power of 6:\n\\((6^2)^5\\)\nanswer attempt 2 out of 2\nanswer: \\(6^{\\square}\\) submit answer

question\nsimplify to a single power of 6:\n\\((6^2)^5\\)\nanswer attempt 2 out of 2\nanswer: \\(6^{\\square}\\) submit answer

Answer

Explanation:

Step1: Recall exponent rule

When raising a power to a power, we multiply the exponents: ((a^m)^n = a^{m\times n}).

Step2: Apply the rule to ((6^2)^5)

Here, (a = 6), (m = 2), and (n = 5). So we calculate (2\times5 = 10). Thus, ((6^2)^5 = 6^{10}).

Answer:

(10)