Question
Simplify the expression using the power rule. \[ \left(x^{11}\right)^{5} \]
Ask by Vaughan Harper. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(x^{55}\).
Solution
Calculate or simplify the expression \( (x^{11})^{5} \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(x^{11}\right)^{5}\)
- step1: Multiply the exponents:
\(x^{11\times 5}\)
- step2: Multiply the numbers:
\(x^{55}\)
The simplified expression using the power rule is \(x^{55}\).
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Simplify this solution Bonus Knowledge
To simplify the expression \(\left(x^{11}\right)^{5}\), you can use the power rule which states that \((a^m)^n = a^{m \cdot n}\). In this case, it becomes \(x^{11 \cdot 5}\). Calculating \(11 \cdot 5\) gives you \(55\). Therefore, the simplified expression is \[ x^{55}. \]
