Questions: w^z cdot w^15

w^z cdot w^15
Transcript text: $w^{z} \cdot w^{15}$
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Solution

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Solution Steps

To simplify the expression \( w^{z} \cdot w^{15} \), we can use the property of exponents that states when multiplying like bases, we add the exponents. Therefore, the expression simplifies to \( w^{z + 15} \).

Step 1: Identify the Expression

We start with the expression \( w^{z} \cdot w^{15} \).

Step 2: Apply the Property of Exponents

Using the property of exponents that states \( a^{m} \cdot a^{n} = a^{m+n} \), we can combine the exponents of the like bases. Thus, we have: \[ w^{z} \cdot w^{15} = w^{z + 15} \]

Final Answer

The simplified expression is \(\boxed{w^{z + 15}}\).

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