Math Problem Statement
Solution
The expression in the image asks to simplify:
Step-by-step simplification:
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Convert the mixed fractions to improper fractions:
- becomes
- becomes
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Simplify the exponent : represents the 4th root of 2 cubed. You can approximate this value using standard methods:
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Simplify the expression inside the parentheses:
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Divide :
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Add the result to (or ):
So, the simplified result is approximately 6.9379.
Would you like more details or have any further questions?
Here are 5 related questions to expand your understanding:
- How do you convert mixed numbers to improper fractions?
- What are the steps involved in simplifying expressions with exponents and roots?
- How do you divide fractions by decimals?
- Why is it important to approximate irrational numbers like ?
- How can you simplify complex arithmetic expressions more effectively without a calculator?
Tip:
When simplifying complex expressions, break them down into smaller parts and work through each operation systematically to avoid mistakes.
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Math Problem Analysis
Mathematical Concepts
Fractions
Exponents
Order of Operations
Division
Addition
Formulas
Mixed fraction to improper fraction conversion: a b/c = (ac + b)/c
Exponent rule: x^(m/n) = n√(x^m)
Theorems
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Suitable Grade Level
Grades 9-11
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