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question simplify to a single power of 6: $6^{6}\times6^{2}$

Question

question
simplify to a single power of 6:
$6^{6}\times6^{2}$

Explanation:

Step1: Recall exponent - product rule

The rule for multiplying powers with the same base \(a^m\times a^n=a^{m + n}\), where \(a = 6\), \(m = 6\), and \(n = 2\).

Step2: Apply the rule

\(6^{6}\times6^{2}=6^{6 + 2}\)

Step3: Calculate the exponent

\(6+2 = 8\), so \(6^{6+2}=6^{8}\)

Answer:

\(6^{8}\)