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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)?

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Solution

Step 1: Define the Problem

Identify the key components of the question that need to be addressed:

  • Simplify the exponential expression 271/327^{1/3}.

Step 2: Break Down the Problem

Divide the problem into smaller, manageable parts:

  • Recognize that 271/327^{1/3} 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 xx is a number yy such that y3=xy^3 = x.

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 33=273^3 = 27, it follows that 271/3=327^{1/3} = 3.

Final Answer

The simplified value of the exponential expression 271/327^{1/3} is 33.

This problem has been solved

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