Question

which expression is equivalent to 8^6·10^6? 1/80^6 80^12 80^6 80^36

Explanation:

Step1: Apply the product - of - powers rule

According to the rule \(a^m\times b^m=(a\times b)^m\). Here \(a = 8\), \(b = 10\) and \(m=6\). So \(8^6\times10^6=(8\times10)^6\).

Step2: Calculate \(8\times10\)

\(8\times10 = 80\), so \((8\times10)^6=80^6\).

Answer:

\(80^6\)