Question
Evaluate. \begin{tabular}{c}\( (6)^{3}=\square \) \\ \( (-2)^{4}= \) \\ \hline\end{tabular}
Ask by Daniels Burgess. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 6^3 = 216 \) and \( (-2)^4 = 16 \).
Solution
Calculate or simplify the expression \( 6^3 \).
Calculate the value by following steps:
- step0: Calculate:
\(6^{3}\)
- step1: Evaluate the power:
\(216\)
Calculate or simplify the expression \( (-2)^4 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(-2\right)^{4}\)
- step1: Determine the sign:
\(2^{4}\)
- step2: Evaluate the power:
\(16\)
The values of the expressions are:
\( (6)^{3} = 216 \)
\( (-2)^{4} = 16 \)
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Beyond the Answer
Let's evaluate the expressions step by step! First, for \( (6)^{3} \): \[ (6)^{3} = 6 \times 6 \times 6 = 36 \times 6 = 216 \] Now, for \( (-2)^{4} \): \[ (-2)^{4} = (-2) \times (-2) \times (-2) \times (-2) = 4 \times 4 = 16 \] So, the completed evaluations are: \[ (6)^{3} = 216 \] \[ (-2)^{4} = 16 \] Putting it all together in the table format: \begin{tabular}{c}\( (6)^{3} = 216 \) \\ \( (-2)^{4} = 16 \) \\ \hline\end{tabular}