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QUESTION IMAGE

simplify. ( w^2 cdot w cdot w^2 )

Question

simplify.
( w^2 cdot w cdot w^2 )

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying powers with the same base, we add the exponents. The base here is \( w \), and we have \( w^2 \cdot w \cdot w^2 \). Note that \( w = w^1 \).

Step2: Add the exponents

For \( w^2 \cdot w^1 \cdot w^2 \), we add the exponents: \( 2 + 1 + 2 \).
Calculating the sum: \( 2 + 1 + 2 = 5 \). So the simplified form is \( w^5 \).

Answer:

\( w^5 \)