Question
Use the product rule of exponents to simplify 2 to the power of 4 times 2 to the power of 2
Answers
Answered by
GPT-4o mini
To simplify \( 2^4 \times 2^2 \) using the product rule of exponents, we use the property that states:
\[
a^m \times a^n = a^{m+n}
\]
In this case, \( a = 2 \), \( m = 4 \), and \( n = 2 \). Applying the rule:
\[
2^4 \times 2^2 = 2^{4+2} = 2^6
\]
Thus, the simplified expression is:
\[
2^6
\]
\[
a^m \times a^n = a^{m+n}
\]
In this case, \( a = 2 \), \( m = 4 \), and \( n = 2 \). Applying the rule:
\[
2^4 \times 2^2 = 2^{4+2} = 2^6
\]
Thus, the simplified expression is:
\[
2^6
\]
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