Question
Product Rule of Exponents Practice
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Question
Use the Product Rule of Exponents to simplify the expression 2^4 ⋅2^2
.(1 point)
Answers
GPT-4o mini
To simplify the expression \(2^4 \cdot 2^2\) using the Product Rule of Exponents, you add the exponents since the bases are the same.
The Product Rule states that \(a^m \cdot a^n = a^{m+n}\).
Applying this rule here:
\[
2^4 \cdot 2^2 = 2^{4+2} = 2^6
\]
So, the simplified expression is \(2^6\).
The Product Rule states that \(a^m \cdot a^n = a^{m+n}\).
Applying this rule here:
\[
2^4 \cdot 2^2 = 2^{4+2} = 2^6
\]
So, the simplified expression is \(2^6\).