Math Problem Statement
Simplify the expression 8x^2 / 3x^5.
Solution
The expression shown in the image is:
To simplify this, follow these steps:
-
Simplify the coefficients: stays as it is since it's already in its simplest form.
-
Simplify the powers of . Use the rule for division of exponents: . In this case:
Thus, the simplified form of the expression is:
Would you like a more detailed explanation or have any questions?
Here are 5 related questions for further exploration:
- How do you simplify expressions with negative exponents?
- What is the rule for dividing powers of the same base?
- How would the expression change if it were ?
- What happens if you multiply the simplified expression by ?
- How do you handle expressions with variables in both the numerator and denominator?
Tip: When simplifying algebraic fractions, always reduce the coefficients first, and then apply the exponent rules.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponent Rules
Formulas
x^a / x^b = x^(a-b)
Theorems
Exponent division rule
Suitable Grade Level
Grades 8-10