Math Problem Statement
Solution
The given expression is:
Step-by-step simplification:
-
Simplify the numerator:
The numerator is (since ). -
Simplify the denominator:
In the denominator, we have: -
Rewrite the expression: Now, the expression becomes:
-
Simplify the fraction:
-
Simplify the powers of and : For , subtract the exponents: For , subtract the exponents:
So the expression becomes:
Final simplified expression:
Would you like further clarification or have additional questions? Here are some related questions:
- How do you simplify expressions with fractional exponents?
- What is the process for dividing variables with exponents?
- How do you combine like terms in algebraic fractions?
- Can you explain how negative exponents affect the simplification process?
- What rules govern the simplification of rational expressions?
Tip: Always double-check your work by breaking down exponents step by step to avoid mistakes!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Rational Expressions
Exponent Rules
Formulas
Product of exponents: a^m * a^n = a^(m + n)
Division of exponents: a^m / a^n = a^(m - n)
Simplifying fractional exponents
Theorems
Laws of Exponents
Properties of Rational Expressions
Suitable Grade Level
Grades 9-10
Related Recommendation
Simplify the Expression (5x^3y^3)^2 / (x^2y)^3 Step-by-Step
Simplifying the Radical Expression (x^2√y)(√[3]{x^3 y^2 z}) / (x^5 y^3)^(1/3)
Simplify the Expression (x^3 y^2 / z) / (y^3 / x^2) Raised to Power 5
Simplify Expression with Exponents: 3x^(3/2) y^3 / x^2 y^(-1/2)
Simplify Algebraic Expression with Exponents: (5x^(2/3) y^(-1/2))(2x^2 y^(-3))