Math Problem Statement
solve
Solution
The problem requires rewriting the expression without an exponent. Here's the solution:
Step-by-Step Solution:
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Negative Exponent Rule: Recall that . Applying this rule, we rewrite:
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Simplify the Fraction Exponent: The cube of is calculated as:
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Final Expression: Substitute this into the denominator:
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Simplify the Complex Fraction: Use the rule :
Final Answer:
Would you like additional clarification or further details on any step?
Here are 5 related questions to expand your understanding:
- How would the result change if the exponent were positive ()?
- What is the general rule for simplifying negative exponents?
- How do you simplify ?
- What is the value of ?
- Can you explain how to rewrite for any fraction ?
Tip: Always simplify exponents first, and then handle any negative signs in the exponent to avoid confusion.
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Math Problem Analysis
Mathematical Concepts
Exponents
Fractions
Negative Exponents
Formulas
\(a^{-n} = \frac{1}{a^n}\)
\(\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}\)
\(\frac{1}{\frac{a}{b}} = \frac{b}{a}\)
Theorems
Negative Exponent Rule
Fraction Exponent Simplification
Suitable Grade Level
Grades 6-8
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