Math Problem Statement
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Solution
The given mathematical expression is:
Step-by-Step Explanation:
-
Understand the Expression:
- The term represents the fourth root of the product .
- Squaring the fourth root means raising it to the power of .
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Simplify the Powers:
- Using the rule of exponents :
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Simplify the Exponent:
- Multiply the exponents:
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Result:
- The expression is equivalent to:
Final Answer:
Would you like further clarification or a breakdown of the rules used? Here are five related questions for practice:
- How do you simplify ?
- What is in radical form?
- Explain the general rule for simplifying .
- How does simplify?
- Why does ?
Tip: Always remember that roots can be expressed as fractional exponents, which simplifies operations like multiplication or division.
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Math Problem Analysis
Mathematical Concepts
Roots and Exponents
Simplification of Radical Expressions
Formulas
Exponentiation rule: (x^m)^n = x^(m*n)
Roots as fractional exponents: nth root of x = x^(1/n)
Theorems
Properties of Exponents
Suitable Grade Level
Grades 9-10
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