Math Problem Statement
Solution
To solve the given problem, we need to simplify the expression:
Let's go through it step-by-step.
Step 1: Simplify the Numerator
The numerator is . Apply the power of a product rule , which gives:
Calculate each term:
So, the numerator becomes:
Step 2: Simplify the Denominator
The denominator is . Again, apply the power of a product rule:
Calculate each term:
- remains as it is.
So, the denominator becomes:
Step 3: Divide the Numerator by the Denominator
Now we have:
Divide each term separately:
- Constants:
- -terms:
- -terms:
Putting it all together, the expression simplifies to:
Final Answer
Would you like further details or have any questions?
Here are some related questions for further practice:
- How would you simplify ?
- What is the result of ?
- How do you simplify ?
- Simplify .
- What steps would you take to simplify ?
Tip: When simplifying expressions with exponents, remember to carefully apply the power of a product and the division of powers rules to avoid common mistakes.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Exponentiation
Algebraic Simplification
Division of Exponents
Formulas
Power of a Product Rule: \((ab)^n = a^n b^n\)
Power Rule for Exponents: \((x^m)^n = x^{m \times n}\)
Division of Exponents Rule: \(\frac{x^m}{x^n} = x^{m - n}\)
Theorems
-
Suitable Grade Level
Grades 9-11
Related Recommendation
Simplify \frac{(2x^2\cdot y)^2\cdot 5x\cdot y}{(3x\cdot y^3)^3} - Step-by-Step Solution
Simplify Expression with Positive Exponents for (8x^3y)^2 (4x/5y)^(-2)
Simplify Expression Using Exponent Rules: x^-5 y^3 and x y^6
Simplify Exponential Expression (6x^5y^3)^2 Using Power Rule
Simplify the Expression (5x^3y^3)^2 / (x^2y)^3 Step-by-Step