Question
Simplify. \( (-2 p)^{2} \)
Ask by Davison Stephens. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( (-2p)^2 = 4p^2 \)
Solution
Calculate or simplify the expression \( (-2p)^2 \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(-2p\right)^{2}\)
- step1: Determine the sign:
\(\left(2p\right)^{2}\)
- step2: Use the properties of exponents:
\(2^{2}p^{2}\)
- step3: Evaluate the power:
\(4p^{2}\)
The simplified form of \( (-2p)^{2} \) is \( 4p^{2} \).
Reviewed and approved by the UpStudy tutoring team
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Bonus Knowledge
When you simplify \( (-2p)^{2} \), you essentially square both the coefficient and the variable. So, you calculate \( (-2)^{2} \) which equals 4, and \( p^{2} \) remains as is. Therefore, combining these gives you \( 4p^{2} \). So the simplified form is \( 4p^{2} \).