Question
16. Write \( \left(5^{5}\right)^{11} \) in simplest exponential form. \( \left(5^{5}\right)^{11}= \) Enter your next step here
Ask by Tran Chambers. in the United States
Dec 19,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 5^{55} \)
Solution
Calculate or simplify the expression \( 5^{5*11} \).
Calculate the value by following steps:
- step0: Calculate:
\(5^{5\times 11}\)
- step1: Multiply the numbers:
\(5^{55}\)
The simplest exponential form of \( \left(5^{5}\right)^{11} \) is \( 5^{55} \).
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Simplify this solution Mind Expander
To simplify \( \left(5^{5}\right)^{11} \), you use the power of a power property of exponents, which states that \( (a^m)^n = a^{m \cdot n} \). Therefore, apply this rule here: \( \left(5^{5}\right)^{11} = 5^{5 \cdot 11} = 5^{55} \). Now you have \( 5^{55} \) as your simplest exponential form!
