Question
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Answer
The simplified form is \( 2p^{4} \).
Solution
Calculate or simplify the expression \( (16*p^16)^{1/4} \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(16p^{16}\right)^{\frac{1}{4}}\)
- step1: Use the properties of exponents:
\(16^{\frac{1}{4}}\left(p^{16}\right)^{\frac{1}{4}}\)
- step2: Evaluate the power:
\(2p^{4}\)
The simplified form of \( \left(16 p^{16}\right)^{\frac{1}{4}} \) is \( 2p^{4} \).
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Simplify this solution Mind Expander
To simplify \( \left(16 p^{16}\right)^{\frac{1}{4}} \), we can first apply the exponent to both the numerical and variable parts separately. Starting with the numerical part: \[ 16^{\frac{1}{4}} = 2 \] since \( 16 = 2^4 \), and taking the fourth root gives us \( 2 \). Now, for the variable part \( p^{16} \): \[ \left( p^{16} \right)^{\frac{1}{4}} = p^{16 \cdot \frac{1}{4}} = p^4. \] Putting it all together, we have: \[ \left(16 p^{16}\right)^{\frac{1}{4}} = 2 p^4. \] Thus, the simplified expression is: \[ \boxed{2 p^4}. \]
