Question
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Complete this expression. \( w^{p} \cdot w^{r}=\square \)

Ask by Lowe Nguyen. in the United States
Feb 26,2025

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Tutor-Verified Answer

Answer

\( w^{p} \cdot w^{r} = w^{p + r} \)

Solution

Using the rule for multiplying exponential expressions with the same base, you add the exponents. Therefore:   wᵖ · wʳ = w^(p + r)

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Bonus Knowledge

When multiplying powers with the same base, you simply add the exponents together. So in this case, \( w^{p} \cdot w^{r} = w^{p+r} \). It's like having a party where \( p \) friends bring snacks, and \( r \) friends bring drinks – together, they create a fabulous \( w^{p+r} \) bash! Another fun way to remember this is through the "power of one" principle: keep the base steady, and let the exponents marry into a grand total! This not only simplifies calculations but also lays the foundation for deeper explorations in algebra.

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