Question

which expression is equivalent to 6^5·2^5?
12^10
\frac{1}{12^5}
12^25
12^5

Explanation:

Step1: Apply product - of - powers rule

According to the rule \(a^m\times b^m=(a\times b)^m\). Here \(a = 6\), \(b = 2\), and \(m = 5\). So \(6^5\times2^5=(6\times2)^5\).

Step2: Calculate \(6\times2\)

\(6\times2 = 12\), then \((6\times2)^5=12^5\).

Answer:

\(12^5\)