Question
Complete this expression. \( w^{p} \cdot w^{r}=\square \)
Ask by Lowe Nguyen. in the United States
Feb 26,2025
Upstudy AI Solution
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)
Answered by UpStudy AI and reviewed by a Professional Tutor
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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.