Question
\( (-3)^{4}=\square \) (Simplify your answer. Type an integer.)
Ask by Ellis Burns. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(81\)
Solution
1. We start with the expression:
\[
(-3)^4 = (-3) \times (-3) \times (-3) \times (-3)
\]
2. Multiply the first two factors:
\[
(-3) \times (-3) = 9
\]
3. Multiply the next two factors:
\[
(-3) \times (-3) = 9
\]
4. Multiply the two results:
\[
9 \times 9 = 81
\]
Thus, the simplified value is \(81\).
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Simplify this solution Extra Insights
When you calculate \( (-3)^{4} \), you multiply \(-3\) by itself four times: \((-3) \times (-3) \times (-3) \times (-3)\). The first two \(-3\) numbers multiply to give \(9\), and the next two also give \(9\). Finally, multiplying \(9\) by \(9\) gives \(81\). So, \( (-3)^{4} = 81\). Now, you’ve got your answer in a neat box: \( 81 \).
