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use the power rule of exponents to simplify the expression (6 2) 4
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GPT-4o mini
To simplify the expression \((6^2)^4\) using the power rule of exponents, we apply the rule that states \((a^m)^n = a^{m \cdot n}\).
1. Here, \(a = 6\), \(m = 2\), and \(n = 4\).
2. Applying the power rule:
\[
(6^2)^4 = 6^{2 \cdot 4} = 6^8
\]
So, \((6^2)^4\) simplifies to \(6^8\).
If you want to calculate \(6^8\):
\[
6^8 = 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 = 1,679,616
\]
Thus, the simplified expression is \(6^8\) or \(1,679,616\) if evaluated.
1. Here, \(a = 6\), \(m = 2\), and \(n = 4\).
2. Applying the power rule:
\[
(6^2)^4 = 6^{2 \cdot 4} = 6^8
\]
So, \((6^2)^4\) simplifies to \(6^8\).
If you want to calculate \(6^8\):
\[
6^8 = 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 = 1,679,616
\]
Thus, the simplified expression is \(6^8\) or \(1,679,616\) if evaluated.