Math Problem Statement
Solution
The problem shown asks to "Write the expression using positive exponents" for the following expression:
To rewrite this expression using only positive exponents, follow these steps:
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When a term has a negative exponent, you can move it from the numerator to the denominator or from the denominator to the numerator, changing the exponent to positive. Specifically: and
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Apply this rule to the given expression:
So the expression with positive exponents is:
Would you like further details or clarifications?
Here are 5 related questions to consider:
- How do you simplify expressions with negative exponents?
- What happens if both the numerator and denominator have the same base with negative exponents?
- How would you handle an expression with mixed positive and negative exponents?
- Can you apply this rule to more complex fractions with negative exponents?
- What are some common mistakes when dealing with negative exponents?
Tip: Always remember that a negative exponent simply indicates the reciprocal of the base raised to the corresponding positive exponent.
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Exponents
Simplification
Formulas
a^(-n) = 1/(a^n)
(1/a^(-n)) = a^n
Theorems
Exponent Rules
Reciprocal Theorem
Suitable Grade Level
Grades 7-9
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