Use the Power Rule of Exponents to simplify the expression (78 8) 6

.(1 point)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
5 hours ago

To simplify the expression \((78 \cdot 8)^6\) using the Power Rule of Exponents, we apply the rule which states that \((a \cdot b)^n = a^n \cdot b^n\).

So, we can rewrite the expression as follows:

\[ (78 \cdot 8)^6 = 78^6 \cdot 8^6 \]

This is the simplified form of the expression. If you need numerical values, you can calculate \(78^6\) and \(8^6\) separately, but the expression in its simplified algebraic form is:

\[ 78^6 \cdot 8^6 \]