What is the simplified value of the exponential expression 27^(1/3)?
Question
What is the simplified value of the exponential expression 27^(1/3)
?
Solution
Step 1: Define the Problem
Identify the key components of the question that need to be addressed:
- Simplify the exponential expression .
Step 2: Break Down the Problem
Divide the problem into smaller, manageable parts:
- Recognize that represents the cube root of 27.
Step 3: Apply Relevant Concepts
Use appropriate academic theories or formulas to solve each part of the problem:
- The cube root of a number is a number such that .
Step 4: Analysis, Verify and Summarize
Analyze each part in detail if necessary, carry out the calculations by steps. Verify the calculations result and summarize the findings:
- Since , it follows that .
Final Answer
The simplified value of the exponential expression is .
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