Math Problem Statement
X⁵
Simplify \( \frac{x^5}{x^3} \)
Solution
The given expression is:
To simplify, we apply the laws of exponents. Specifically, the quotient rule for exponents:
Using this rule, we subtract the exponents:
So, the simplified expression is:
Would you like more details on exponent rules, or do you have any other questions? Here are some related questions:
- How do you simplify an expression with negative exponents?
- What happens when you divide powers with the same base and different exponents?
- How do you simplify a fraction with exponents that are larger in the denominator?
- How can you apply exponent rules to rational expressions?
- What are the rules for multiplying terms with exponents?
Tip: Always remember to subtract the exponents when dividing powers with the same base!
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplification
Formulas
\( \frac{x^a}{x^b} = x^{a-b} \)
Theorems
Quotient Rule for Exponents
Suitable Grade Level
Grades 6-8