Question
use the power rule of exponent to simplify the expression 6^2 ^4
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Answered by
GPT-4o mini
To simplify the expression \( 6^{2^4} \) using the power rule of exponents, we need to remember that the power of a power rule states:
\[
(a^m)^n = a^{m \cdot n}
\]
In your expression \( 6^{2^4} \), we first simplify \( 2^4 \):
\[
2^4 = 16
\]
So, we can rewrite the expression as:
\[
6^{2^4} = 6^{16}
\]
Thus, the simplified form of \( 6^{2^4} \) is:
\[
6^{16}
\]
\[
(a^m)^n = a^{m \cdot n}
\]
In your expression \( 6^{2^4} \), we first simplify \( 2^4 \):
\[
2^4 = 16
\]
So, we can rewrite the expression as:
\[
6^{2^4} = 6^{16}
\]
Thus, the simplified form of \( 6^{2^4} \) is:
\[
6^{16}
\]
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