Product Rule of Exponents Practice

Question

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Question
Use the Product Rule of Exponents to simplify the expression 2^4 ⋅2^2
.(1 point)

Answer 1

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 \(2^6\).