Question
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Answer
\( p^{3} \cdot p = p^{4} \)
Solution
Calculate or simplify the expression \( p^{3} \cdot p \).
Simplify the expression by following steps:
- step0: Solution:
\(p^{3}\times p\)
- step1: Simplify the expression:
\(p^{3+1}\)
- step2: Add the numbers:
\(p^{4}\)
The expression \( p^{3} \cdot p \) simplifies to \( p^{4} \).
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Simplify this solution Beyond the Answer
To solve the equation \( p^{3} \cdot p = p \), you can simplify the left side by using the properties of exponents. Specifically, remember that \( p^{a} \cdot p^{b} = p^{a+b} \). Here, you have \( p^{3} \cdot p^{1} = p^{3+1} = p^{4} \). Therefore, the equation simplifies to \( p^{4} = p \). To satisfy this equation, you can fill in the blank with \( 0 \) or \( 1 \) since any number raised to any power equals that number when it is either \( 0 \) or \( 1 \). Thus, \( p = 0 \) or \( p = 1 \) are the solutions!
