Math Problem Statement
Simplify the expression \(\frac{12p^5 a}{10p^2 a}\)
Solution
The expression in the image is:
To simplify this expression, let's break it down step by step:
-
Simplifying the coefficients:
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Simplifying the variables:
- For and , we apply the rule of exponents: .
- The terms cancel each other out since .
Now, the simplified expression is:
Would you like more details or have any questions?
Here are 5 related questions to explore further:
- How do you simplify expressions involving exponents in different scenarios?
- What are the rules for simplifying rational expressions?
- How does multiplying or dividing powers with the same base work?
- How can you identify and cancel common factors in algebraic fractions?
- How would this process change if the terms in the denominator were different variables?
Tip: Always start by simplifying coefficients and then move on to variables, applying the rules of exponents.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplification
Formulas
\frac{p^m}{p^n} = p^{m-n}
\frac{a}{a} = 1
Theorems
Laws of Exponents
Simplifying Rational Expressions
Suitable Grade Level
Grades 8-10