Hodges Little
07/08/2024 · Middle School
Simplify. \( (2 c)^{4} \)
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Tutor-Verified Answer
Step-by-step Solution
To simplify \( (2c)^{4} \), we can apply the power of a product rule, which states that \( (ab)^n = a^n b^n \).
Here, we have:
\[
(2c)^{4} = 2^{4} \cdot c^{4}
\]
Now, we calculate \( 2^{4} \):
\[
2^{4} = 16
\]
Thus, we can rewrite the expression as:
\[
(2c)^{4} = 16c^{4}
\]
So, the simplified form of \( (2c)^{4} \) is:
\[
\boxed{16c^{4}}
\]
Quick Answer
\( (2c)^{4} = 16c^{4} \)
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