Math Problem Statement

32^1/5

Solution

The expression 321532^{\frac{1}{5}} represents the fifth root of 32.

To simplify:

3215=32532^{\frac{1}{5}} = \sqrt[5]{32}

Since 32=2532 = 2^5, the fifth root of 32 is:

[ \sqrt[5]{32} = \sqrt[5]{2^5} = 2 ]

Thus, 3215=232^{\frac{1}{5}} = 2.

Would you like further details on this or have any other questions?

Here are five related questions for practice:

  1. Simplify 641664^{\frac{1}{6}}.
  2. What is 811481^{\frac{1}{4}}?
  3. Simplify 24315243^{\frac{1}{5}}.
  4. How would you express 161416^{\frac{1}{4}} as a whole number?
  5. What is the value of 8138^{\frac{1}{3}}?

Tip: Remember that fractional exponents like a1na^{\frac{1}{n}} represent the nnth root of aa.

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Math Problem Analysis

Mathematical Concepts

Exponents
Roots

Formulas

Exponentiation
Roots formula

Theorems

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Suitable Grade Level

Grades 7-9