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question simplify to a single power of 6: \\((6^2)^5\\) answer attempt …

Question

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

\(10\)