Math Problem Statement

161416^{\frac14}

Solution

The expression 161416^{\frac{1}{4}} represents the fourth root of 16. This can be simplified as:

Step-by-Step Solution:

  1. Recognize the Fractional Exponent: 1614=16416^{\frac{1}{4}} = \sqrt[4]{16}

  2. Find the Fourth Root of 16: 164=2because24=16\sqrt[4]{16} = 2 \quad \text{because} \quad 2^4 = 16

Final Answer:

1614=216^{\frac{1}{4}} = 2

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Related Questions:

  1. What is 811481^{\frac{1}{4}}?
  2. How do you simplify 641364^{\frac{1}{3}}?
  3. What is 25614256^{\frac{1}{4}}?
  4. How do you calculate 161216^{\frac{1}{2}}?
  5. What is 321532^{\frac{1}{5}}?

Tip:

When you encounter fractional exponents, the denominator of the fraction indicates the root. So 14\frac{1}{4} means the fourth root!

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Math Problem Analysis

Mathematical Concepts

Exponents
Roots
Radicals

Formulas

a^{\frac{1}{n}} = \sqrt[n]{a}

Theorems

Exponentiation and Root Relationships

Suitable Grade Level

Grades 8-10