Use the Power Rule of Exponents to simplify the expression (6 2) 4

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

To simplify the expression \((6^2)^4\) using the Power Rule of Exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).

In this case, we have:

\[ (6^2)^4 = 6^{2 \cdot 4} \]

Now, calculate the exponent:

\[ 2 \cdot 4 = 8 \]

So, we have:

\[ (6^2)^4 = 6^8 \]

Thus, the simplified expression is:

\[ \boxed{6^8} \]