Question
Simplify to a single power of 6 : \[ \left(6^{3}\right)^{5} \]
Ask by Lee Pritchard. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(6^{15}\)
Solution
Calculate or simplify the expression \( (6^3)^5 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(6^{3}\right)^{5}\)
- step1: Multiply the exponents:
\(6^{3\times 5}\)
- step2: Multiply the numbers:
\(6^{15}\)
The simplified form of \((6^3)^5\) is \(6^{15}\) or approximately \(4.70185 \times 10^{11}\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To simplify \(\left(6^{3}\right)^{5}\), we can use the property of exponents that states \((a^{m})^{n} = a^{m \cdot n}\). Applying this property, we have: \[ \left(6^{3}\right)^{5} = 6^{3 \cdot 5} = 6^{15}. \] So, the simplified form is: \[ \boxed{6^{15}}. \]
